How to Find the Diagonal Length of a Rectangle

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  • Опубліковано 9 лип 2017
  • What does it mean to find the diagonal of a rectangle? Generally, finding the diagonal of a rectangle means to find the length of the rectangle diagonal. In this video we go over how to do just that. We find the diagonal length of a rectangle, and mention the rectangle diagonal formula for finding the length of any generic rectangle diagonal. As you might expect, it uses the Pythagorean Theorem.
    Finding Rectangle Diagonal Example Problems: • How to Find Rectangle ...
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КОМЕНТАРІ • 186

  • @WrathofMath
    @WrathofMath  4 роки тому +12

    Check out my new math rap channel if you're looking to bump some tunes! 🔥 ua-cam.com/video/L68v_W40SYo/v-deo.html

    • @andrewjalen8727
      @andrewjalen8727 3 роки тому

      you prolly dont care but if you're stoned like me atm you can watch pretty much all the latest movies on InstaFlixxer. I've been binge watching with my brother for the last months :)

    • @karsoncolt1866
      @karsoncolt1866 3 роки тому

      @Andrew Jalen Yea, I have been using InstaFlixxer for since december myself :D

    • @forestt1276
      @forestt1276 3 роки тому

      these bots... i've seen these 2 eveywhere

  • @xcznikka7717
    @xcznikka7717 4 роки тому +169

    Doing this since this online school thing got me going crazy

  • @cherita45
    @cherita45 4 роки тому +52

    oh my god thank you-
    this has saved me-

    • @WrathofMath
      @WrathofMath  4 роки тому +5

      Thanks for watching and you're welcome! I am glad it helped!

  • @Lucas_van_Hout
    @Lucas_van_Hout 4 роки тому +16

    Probably a big goof of myself that I didn’t realise that you calculate it with the plain old Pythagorean theorem.

    • @WrathofMath
      @WrathofMath  4 роки тому +4

      Thanks for watching and that's right, it's a handy application of that wonderful theorem! By the way, if you're interested in seeing a proof of the theorem, I recently ate bugs while presenting a proof in this video: ua-cam.com/video/rw-OIl0RHpg/v-deo.html

  • @CF542
    @CF542 4 роки тому +15

    When Yoda stated, "That is why you fail", he was talking to me.

  • @user-xr9iz8fl2k
    @user-xr9iz8fl2k 3 роки тому +23

    thank you so much !! this helps so much and i understood it easily !

    • @WrathofMath
      @WrathofMath  3 роки тому

      So glad to hear it, thanks for watching and let me know if you ever have any lesson requests!

  • @manickavasagambs4631
    @manickavasagambs4631 4 роки тому +9

    Thank very much for this video. I saw this video 2hrs before yearly exam

  • @AnNguyen-jm6dy
    @AnNguyen-jm6dy Рік тому +6

    I've looked for so many vids but this one was so easy to understand, thank u!

  • @selinaz6167
    @selinaz6167 2 роки тому +13

    Thank you, I’m in seventh and I feel as if I should know this; now you taught me!

    • @WrathofMath
      @WrathofMath  2 роки тому

      So glad it helped! Thanks for watching!

    • @selinaz6167
      @selinaz6167 2 роки тому

      Yeah! Thanks so much just found out that I had a question in my workbook about this and now I know this! :)

  • @thisismykingdomcome8743
    @thisismykingdomcome8743 4 роки тому +4

    Thanks for such a good video, Anyone doing work during the quarantine?

    • @WrathofMath
      @WrathofMath  4 роки тому +1

      You're welcome and thanks for watching, Joshua!

  • @imblrd498
    @imblrd498 3 роки тому +1

    Thanks this was an amazing video to help me on a topic i didnt understand

  • @shiftaxisrecords
    @shiftaxisrecords 2 роки тому +1

    Thanks for the refresher! Great video!

  • @paulmullikin9215
    @paulmullikin9215 31 хвилина тому

    Thanks for explaining. Only had general math in 1960’s H.S. My poor vision not allowing me to see “blackboard”. Tested in college w/ glasses; tested high IQ. ie: Make sure your kids get vision exams.

  • @sociallyawkwarddonut5469
    @sociallyawkwarddonut5469 4 роки тому +4

    I was working on math on google classroom and a question like this came up and I was like "wait, how do I do this again?" I already learned this in school but I completely blanked. Then I watched this and I was like "OHHHHH I REMEMBER NOW!" so thank you so much, now I won't fail math class.

    • @WrathofMath
      @WrathofMath  4 роки тому +1

      I am glad it helped! Thanks for watching!

  • @maxtonbohm8737
    @maxtonbohm8737 3 роки тому +4

    Thank you so much this helped a lot and i understand how to do this now

    • @WrathofMath
      @WrathofMath  3 роки тому

      You're very welcome, I am glad it helped!

  • @comradesnearequator2584
    @comradesnearequator2584 3 роки тому

    These types of channels are the most helpful

    • @WrathofMath
      @WrathofMath  3 роки тому

      Thanks for watching! Glad it's helpful!

  • @yandrapukumar3455
    @yandrapukumar3455 4 роки тому +5

    For example sir a(2.447) b(1.515) how to find c??? Please explain sir

    • @WrathofMath
      @WrathofMath  4 роки тому +2

      Thanks for watching and good question! I answer your question in this new video: ua-cam.com/video/lP4kTCDB58E/v-deo.html around the 9:38 mark

  • @harshhh1.15
    @harshhh1.15 3 роки тому +2

    Thank you so much wrath math...
    You literally saved... 🙌

    • @WrathofMath
      @WrathofMath  3 роки тому

      You're very welcome, it is my pleasure! Thanks for watching!

  • @lehnyinbobga
    @lehnyinbobga 3 місяці тому

    Omg THANK YOU! I'm in grade 9 but I struggle with these concepts. This was well explained and I really appreciate what you do!

  • @Football_pro7
    @Football_pro7 3 місяці тому +1

    Thank you so much MR

  • @jingwenmei4490
    @jingwenmei4490 4 місяці тому

    Thanks man this was so clear it really helped

  • @munmunpal5911
    @munmunpal5911 5 років тому +8

    It is a good video

    • @WrathofMath
      @WrathofMath  5 років тому

      Thank you for your comment and for watching!

  • @nascar453-3
    @nascar453-3 Рік тому

    Thanks I’m doing summer classes and the videos aren’t making sense but this one has helped me

    • @WrathofMath
      @WrathofMath  Рік тому

      Awesome, thanks for watching and good luck!

  • @munirbashir9617
    @munirbashir9617 Рік тому

    i apriciate u for this man🙏🙏🙏

  • @shizahaque4022
    @shizahaque4022 4 роки тому

    Thank you so much... was in so much trouble.. 😊

    • @WrathofMath
      @WrathofMath  4 роки тому +1

      You're very welcome, I'm glad it helped!

  • @tabadaantonjoshuam.5252
    @tabadaantonjoshuam.5252 3 роки тому

    Thank you. Helped me alot with school works

    • @WrathofMath
      @WrathofMath  3 роки тому +1

      Glad it helped, thanks for watching! If you're studying geometry, you may be in the mood to vibe to the circle song: ua-cam.com/video/zj6YKOCrS74/v-deo.html

  • @anthonyhill692
    @anthonyhill692 4 роки тому

    Nicely explained. Thank you. Can i ask what the tune at the end of the video is??

    • @WrathofMath
      @WrathofMath  4 роки тому +1

      I'm glad it helped and thanks for watching! The song at the end is a song I wrote called "To the Moon and Back". I have not published a finished version, but you can hear some more of my music here if you're interested: ua-cam.com/users/SeanEMusicvideos

  • @carolynkuespert8228
    @carolynkuespert8228 11 місяців тому

    Thanks for the review lesson.

    • @WrathofMath
      @WrathofMath  10 місяців тому

      My pleasure - thanks for watching!

  • @dr.rajalakshmielumalai1672
    @dr.rajalakshmielumalai1672 4 роки тому +4

    Thanks finally understood!!

  • @yuiix0026
    @yuiix0026 3 роки тому

    how did u get the 4 an 3

  • @asifahmad2551
    @asifahmad2551 2 дні тому

    Thank you 👍🏻

  • @yuiix0026
    @yuiix0026 3 роки тому +2

    im 8th grade and i didn't even know this 😭😭 THANK U SO MUCH

  • @heroaskaban5697
    @heroaskaban5697 9 місяців тому

    uhm just a question how did you get 16 and 9 ??

  • @ishabhairavi.s2992
    @ishabhairavi.s2992 3 роки тому

    Thanks a lot!🙏🏼❤❤❤

    • @WrathofMath
      @WrathofMath  3 роки тому

      You're welcome! Thanks for watching!

  • @jacobkasparian8229
    @jacobkasparian8229 8 місяців тому

    Thank you!

  • @sadiecarreira7954
    @sadiecarreira7954 4 роки тому

    Okay i get it but what if theirs like no numbers on the rectangle? My school paperwork doesn’t tell me what my lengths or widths are but I have to find the diagonal of the rectangle.. please help 😭

  • @MohitSaini-br4yc
    @MohitSaini-br4yc 2 роки тому

    Thanks bro for helping me

  • @bigdoge
    @bigdoge Рік тому

    Wow thank you! ❤

  • @UNKNOWN-ce5bp
    @UNKNOWN-ce5bp 2 роки тому +1

    VERY HELPFUL SIR

    • @WrathofMath
      @WrathofMath  2 роки тому +1

      Glad to hear that! Thanks for watching!

  • @Angel-ch4xv
    @Angel-ch4xv 3 роки тому

    thank you for this online classes are so hard

    • @WrathofMath
      @WrathofMath  3 роки тому

      Glad it helped! Keep working hard and I hope you'll do well in your courses! Let me know if you have any questions!

  • @lmbda1812
    @lmbda1812 6 місяців тому

    this was helful

  • @Fun4life853
    @Fun4life853 4 роки тому +1

    Thanks sir for telling how to get perimeter from diagonal and length , my exam's are here thanks sir

    • @WrathofMath
      @WrathofMath  4 роки тому

      You're very welcome, I am glad it helped! Thanks for watching!

  • @shahlanasreen.p8971
    @shahlanasreen.p8971 3 роки тому

    ThNks for this useful video now l learned how to find diagonals

    • @WrathofMath
      @WrathofMath  3 роки тому

      Glad to hear it, thanks for watching!

  • @nlugo109
    @nlugo109 7 місяців тому

    I'm still a bit confused cause the diagonal for my rectangle is 77 do i do 5 cause the diagonal is 25 so c = 5

  • @lilavmohamed6008
    @lilavmohamed6008 3 роки тому

    Thank you v much 💛💛

    • @WrathofMath
      @WrathofMath  3 роки тому

      No problem, thanks for watching!

  • @gracekimeu4558
    @gracekimeu4558 3 місяці тому

    how can i get to find the perimeter of a diagonal rectangle if it has a measurement of the diagonal and the width also🤓

  • @BaBa_SyPher
    @BaBa_SyPher 4 роки тому

    How did you get the 5

  • @SaurabhSharma-jy7cs
    @SaurabhSharma-jy7cs Рік тому

    Quick ans easy 👍

  • @idkwhattonamethis0
    @idkwhattonamethis0 5 місяців тому

    thank youuu saved my life

  • @kotux0910
    @kotux0910 3 роки тому +1

    Had to look this up because my teacher literally didn’t teach us this and then have the audacity to tell me during a test that counts for like 50% of my grade that she did

  • @dAnDeLiOnS_2689
    @dAnDeLiOnS_2689 3 роки тому

    how to find diagonal of a rectangle if side and area is given, how much time would it take to cross diagonally, can u solve this kind of questions?

    • @WrathofMath
      @WrathofMath  3 роки тому

      I'll get to the first part soon, as far as how much time it would take to cross diagonally I am not sure what you mean. Give me more specifics about that and maybe I can help.

  • @brianaquinn2820
    @brianaquinn2820 Рік тому +1

    Hi! I am trying to solve this question I have in my workbook from school and cant seem to find an answer, It s a rectangle with two quarter circles touching in it and all we have is the radius is 5cm The vertices are opposite and I have to try find the area of the rectangle. I have tried Pythagoras and other things but I can't figure it out! Thanks! We are trying to find the diagnol as e thoght itwoudl help hence how we ended up on your video

    • @WrathofMath
      @WrathofMath  Рік тому

      I'm not sure what you mean when you say the vertices are opposite. Based on my understanding of your problem, we have a rectangle with a quarter circle of radius five on its left side, and this touches a quarter circle of radius five on the right side of the rectangle. The quarter circles touch at the midpoint of the bottom side of the rectangle, and this gives us a base length of 10 and rectangle height of 5, since it is a radius of the quarter circle, Thus, A = 50. But I very well may have misunderstood the problem.

    • @brianaquinn2820
      @brianaquinn2820 Рік тому

      @@WrathofMath The two centre of the quarter circles are opposite corners of the rectangle and the circles touch in the centre .... Is there a way j could send you a picture?

  • @praveshyadav9330
    @praveshyadav9330 5 років тому +1

    sir agar hmmediagonal aur breadth de ho to length kaise find Kate???

    • @WrathofMath
      @WrathofMath  5 років тому +1

      Thanks for watching! I'm sorry, I'd like to help but I do not understand the question!

    • @TheBaffledZone
      @TheBaffledZone 4 роки тому +1

      @@WrathofMath Hey there bud! I can speak Hindi. I'll be your translator. He means "if we are given the diagonal and breadth then how do we find the length?"

  • @cassiecaitteladeza4732
    @cassiecaitteladeza4732 3 роки тому

    THANKYOU SO MUCHHHHH!!!!!

    • @WrathofMath
      @WrathofMath  3 роки тому

      You're very welcome! Thanks for watching!

  • @Wassuppz
    @Wassuppz 10 місяців тому

    Thankyou sir

  • @carlosayala6754
    @carlosayala6754 Рік тому

    Thank you

  • @siddeshwarithape2124
    @siddeshwarithape2124 2 роки тому

    Thank u 😊🤗

    • @WrathofMath
      @WrathofMath  2 роки тому

      You're very welcome, thanks for watching!

    • @siddeshwarithape2124
      @siddeshwarithape2124 2 роки тому

      Sir because of lockdown I don't understand maths but now my favourite subject is maths 😁 and it's possible because of u 😌 thank u so much sir 😊

  • @adityamaurya7503
    @adityamaurya7503 3 роки тому +1

    Thanks Bruh 🙏🙏

  • @GeenoDente
    @GeenoDente 3 роки тому

    I came here trying to figure out what the length and hight of my window frame was i know that diagonally its 6ft. In your example you just randomly assigned numbers to the frame like 4, and 3.. this doesn’t help.

  • @theperfecttube1235
    @theperfecttube1235 4 роки тому +1

    (base)2=(altitude)2+(hypotenuse)2

  • @sial3li344
    @sial3li344 3 роки тому +1

    Mr thanks for explaining, Sir after I have found the diagonal how do I know which quantities are decreasing and which are increasing
    Thank you

    • @WrathofMath
      @WrathofMath  3 роки тому +1

      Thanks for watching! I am not sure what your question is, could you clarify? What quantities are you talking about?

  • @Stephanie-lb6tt
    @Stephanie-lb6tt 2 роки тому

    Whoa… brought me back to high school!

  • @lucky-ju1uw
    @lucky-ju1uw 3 роки тому

    Nice

  • @abdulbasitakueb
    @abdulbasitakueb 2 роки тому +1

    Its useful in grade 8 Cambridge board

  • @gracekimeu4558
    @gracekimeu4558 3 місяці тому

    ohh thanks alot ☺

  • @zvi786
    @zvi786 Рік тому

    thankify

  • @Ihatefarikalittastesreallybad
    @Ihatefarikalittastesreallybad 5 місяців тому

    tysm

  • @AbsoluteFilth
    @AbsoluteFilth 2 роки тому

    Don't know how the theory works, but it helped me nevertheless

    • @WrathofMath
      @WrathofMath  2 роки тому

      Glad to help, thanks for watching!

  • @CYaN1101
    @CYaN1101 6 місяців тому

    How can i find the measurement of the diagonal when half of the measurement is given

    • @CYaN1101
      @CYaN1101 6 місяців тому

      Do i just multiply it by 2?

  • @Psalms146
    @Psalms146 3 роки тому

    2:23 “do a left what is a left?

  • @achitff3832
    @achitff3832 3 роки тому +1

    Thank bro
    Binod

    • @WrathofMath
      @WrathofMath  3 роки тому

      You're very welcome, thanks for watching!

  • @saihmingthangasailo5767
    @saihmingthangasailo5767 Рік тому

    √l2+b2

  • @LaLaAudie
    @LaLaAudie 4 роки тому

    Bru where do you get 16+9 from

    • @WrathofMath
      @WrathofMath  4 роки тому

      Thanks for watching and 16+9 is coming from the Pythagorean theorem. Recall this theorem states that, in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse (where the hypotenuse is the longest side and the legs are the sides that intersect at a right angle).
      When we draw the diagonal of a rectangle, we split it into two right triangles, that both have the diagonal as their hypotenuse. Thus, we can use the Pythagorean theorem to find the length of the diagonal from the sides of the rectangle - which are the legs of our right triangle. I think typing it out without pictures is a little confusing, but there's not much more I can do than type!
      In our case, the legs of our right triangle have lengths 3 and 4, thus we square them 3^2 + 4^2, to get 9 + 16, which equals 25 - the square of our hypotenuse (which is the diagonal of the rectangle). Since the square of our diagonal has a length of 25, the diagonal itself must be sqrt(25) = 5.
      I hope that helps some, but if not I'd recommend watching some other explanations or looking up an explanation on another site that you can read through with pictures - since pictures are vital to these explanations! Additionally, if you want to see a proof of the Pythagorean theorem, I recommend this proof I did while eating insects: ua-cam.com/video/rw-OIl0RHpg/v-deo.html

  • @HomixideGanggg
    @HomixideGanggg 4 роки тому

    this was very helpful but your math terms are so complicated i had to google some words xD thanks anyways!

    • @WrathofMath
      @WrathofMath  4 роки тому

      Thanks for watching! I’m glad you were able to figure it out, once we learn certain terms in mathematics it can make communicating about it much easier! Let me know if you ever have any video requests!

  • @vinsonmccullar1443
    @vinsonmccullar1443 3 роки тому

    Oh thank you i think i get it.

    • @WrathofMath
      @WrathofMath  3 роки тому

      Glad to hear it! Thanks for watching and let me know if you have any video requests!

    • @vinsonmccullar1443
      @vinsonmccullar1443 3 роки тому

      @@WrathofMath OK

  • @ahs_ruth
    @ahs_ruth 3 роки тому

    How to find l and b if only diagonal is given?

    • @WrathofMath
      @WrathofMath  3 роки тому

      By l and b do you mean the sides of the rectangle? There is no way to find a unique solution to that if you only know the diagonal. If we call the diagonal d, and the sides a and b, then for any positive number b, a = sqrt(d^2 - b^2) would work. So there are infinitely many solutions. Does that make sense?

    • @ahs_ruth
      @ahs_ruth 3 роки тому

      @@WrathofMath That's what I wanted to know. Thank you for your help

  • @alex.joe.my.way8966
    @alex.joe.my.way8966 Рік тому

    How bout in feet , meaning fractions of an inch

  • @kennygarcia102
    @kennygarcia102 Рік тому

    80 i need to reduce the hypotenus!! What is it if its 80?

    • @WrathofMath
      @WrathofMath  Рік тому

      I'm not sure what you mean, could you rephrase?

  • @defy8988
    @defy8988 3 роки тому

    I’m in elementary school what does all this mean

  • @JMFX23
    @JMFX23 3 роки тому

    ❤️

    • @WrathofMath
      @WrathofMath  3 роки тому +1

      Thanks for watching!

    • @JMFX23
      @JMFX23 3 роки тому

      @@WrathofMath you're welcome keep sharing!

  • @ruchibhandari9606
    @ruchibhandari9606 7 місяців тому

    Do it the reversed way

  • @GracefulBanana
    @GracefulBanana 4 роки тому

    Thanks but it didn't work because I had decimals

  • @cooper2oo5
    @cooper2oo5 4 роки тому

    I’m working on a math problem and it only gave me the area of the square, no width or length, and it tells me what’s the length of the diagonal? 💀💀💀💀💀 HELP ME

    • @WrathofMath
      @WrathofMath  4 роки тому

      Thanks for watching and for the request, hope it helps! ua-cam.com/video/y1mL1oJPESw/v-deo.html

  • @quinnin2006
    @quinnin2006 2 роки тому

    I have a geometry test next period, my teacher is not the one for me

    • @WrathofMath
      @WrathofMath  2 роки тому

      Hope this helped, thanks for watching!

  • @shashwatagrawal7245
    @shashwatagrawal7245 4 роки тому

    Thank u Sir
    Anyone here becoz of the homework

    • @WrathofMath
      @WrathofMath  4 роки тому +1

      Thank you for watching and you're very welcome!

  • @ashleyjimenez5112
    @ashleyjimenez5112 3 роки тому

    Im dropping out😭 im slow and dont get this🤣

    • @WrathofMath
      @WrathofMath  3 роки тому

      Don't drop out! It just takes some work to understand, and my explanation not being sufficient doesn't mean you're slow! Is there any lingering question I can help clear up to aid your understanding?

    • @absityvelasco9507
      @absityvelasco9507 3 роки тому

      Where do u get 16? And 9? I'm alil confused myself

    • @ASHM8THEBOSS
      @ASHM8THEBOSS 3 роки тому

      @@absityvelasco9507 2:08 at the bottom the equation is 4^2+3^2=c^2 4^2 means 4x4. 3^3 means 3x3. 4x4 is 16 and 3x3 is 9. Hope I helped.

  • @kanikamosima6738
    @kanikamosima6738 3 роки тому +1

    How to Find the Diagonal of Length a Square

    • @kanikamosima6738
      @kanikamosima6738 3 роки тому +1

      Please help me please 🥺

    • @WrathofMath
      @WrathofMath  3 роки тому +1

      Thanks for watching, and if you understand this video then you understand how to find the diagonal length of a square because squares are just special rectangles! Of course, it depends a bit on what information you already have. For example, here is a lesson on how to find the diagonal length from area of the square: ua-cam.com/video/y1mL1oJPESw/v-deo.html

    • @kanikamosima6738
      @kanikamosima6738 3 роки тому +1

      @@WrathofMath thanks 😊

  • @gangsters7612
    @gangsters7612 4 роки тому +1

    Please talk hindi

  • @Arbindkashyap99.
    @Arbindkashyap99. 6 років тому +2

    Rong

    • @WrathofMath
      @WrathofMath  6 років тому +2

      What is wrong in the video?

    • @munmunpal5911
      @munmunpal5911 5 років тому +3

      Hskdvjfkf
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      Hdhdhsfa
      Ten lack
      Travis. Y'all. Y'all Jack off jxvngdvdvdnbvdbdnfbfvxvnxvxvxvvxbcvcvxvdbdv CNN xvxvvxbdbd

    • @nunique1618
      @nunique1618 5 років тому +4

      @@WrathofMath His grammar is wrong. LMAO.

    • @TheBaffledZone
      @TheBaffledZone 4 роки тому +2

      @@munmunpal5911 wtf?

  • @yawa8448
    @yawa8448 2 роки тому

    Could you do my homework? :)

  • @etoyamika1907
    @etoyamika1907 3 роки тому

    This confuses me even more.

  • @tommcdonald1746
    @tommcdonald1746 3 роки тому

    I was following just fine until he stated c=5.

    • @WrathofMath
      @WrathofMath  3 роки тому +1

      Thanks for watching and can I help clear that up for you? If you followed until that point, then we can just pick up at 25 = c^2. So, we know that c squared is 25, but we want to know c, not c^2, since c is the length of the diagonal. Since we know c squared is 25, to find c we ask "what number, when squared, equals 25?". The answer is 5, because 5^2 = 25. It is also true that (-5)^2 = 25, but we're interested in the positive solution (positive 5) because we assume our lengths have to be non-negative.
      Thus, since c is the number that, when squared, equals 25, we know c must equal 5.

    • @tommcdonald1746
      @tommcdonald1746 3 роки тому

      @@WrathofMath that helps a lot. I am building a 12x16 storage shed and using these calculations my diagonal length is 20 feet which squares the corners. Thanks again.

  • @terrysmith2896
    @terrysmith2896 10 місяців тому

    Very poor explination, I taught construction in a prison setting