Incenter, Circumcenter, Orthocenter & Centroid of a Triangle - Geometry

This geometry video tutorial explains how to identify the location of the incenter, circumcenter, orthocenter and centroid of a triangle. The incenter can be found be drawing the 3 angle bisectors of a triangle and identifying the point of intersection. The incenter always lie inside of a triangle. The incenter is the center of the circle that is inscribed in a triangle. The location of the centroid of a triangle can be identified by the intersection of the three medians. The orthocenter of a triangle can be located by finding the intersection of the three altitudes of a triangle. For an acute triangle, the orthocenter lies inside of the triangle. For a right triangle, it lies on the right triangle. For an obtuse triangle, the orthocenter lies outside of the triangle. The circumcenter of a triangle can be found by the intersection of the three perpendicular bisectors. The circumcenter is the center of the circle that is circumscribed about the triangle.
Circles - Area, Circumference, Radius:
• Circles - Area, Circum...
Circles - Chords, Radius, & Diameter:
• Circles - Chords, Radi...
Lines, Rays, Line Segments, & Angles:
• Lines, Rays, Line Segm...
2 Column Proofs - Cong. Segments:
• Two Column Proofs of C...
Triangle Congruence - SSS, SAS, ASA:
• Triangle Congruence Th...
Central Angles and Circle Arcs:
• Central Angles, Circle...
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Tangent Lines and Secant Lines:
• Tangent Lines & Secant...
Circles - Central and Inscribed Angles:
• Circles, Angle Measure...
Tangent Tangent Angle Theorems:
• Tangent Tangent Angle ...
Inscribed and Circumscribed Polygons:
• Inscribed Polygons and...
Power Theorems - Chords, Secants, & Tangents:
• Power Theorems - Chord...
Circle Theorems:
• Circle Theorems
_________________________________
Two Column Proofs With Circles:
• Two Column Proofs With...
Circles Review - Geometry:
• Circles - Geometry
Distance Between Point and Line in 2D & 3D:
• Distance Between a Poi...
Area of a Triangle With Vertices:
• Area of a Triangle Wit...
________________________________
Coordinate Geometry:
• Coordinate Geometry, B...
Geometry Review - Study Guide:
• Geometry Introduction ...
Geometry Final Exam Review:
• Geometry Final Exam Re...
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/

[@skyguy7994]

Bruh 5 minutes in I already understand more than 50 minutes in my geometry class

[@rickyalvarez8761]

Ik it’s bullshit man fuck the school system

[@hela_helio]

@@rickyalvarez8761 Fr tho

[@burningblackknight8237]

Ikr

[@isaiah4tone]

hi i like star wars

[@zingozingozingo]

Fax

[@carterfield1355]

this guy just explained 2 classes worth of math in 17 minutes

[@jedidiahakash6417]

It is indeed 17min

[@ggbearair4630]

My teacher does this in an hour or more

[@zarifpious7046]

@@sanowarmasum5350 bro u misunderstood him...
He praised him 🙄

[@jessiexdd8068]

Excatly

[@cocoa_cakes4938]

@@zarifpious7046 ?

[@sierra4962]

centroid: 1:35
ortho: 4:21
circum: 10:17

[@KoPowr]

Thanks, also I like ur logo

[@Jones-lt8ex]

Thanks,also I like ur logo

[@venkataratnampadaga3392]

Tan Q very much

[@rxg3182]

🙏

[@nosna91]

Life saver

[@tatagr]

Thanks so much for this, I have been really confused in class as we have been learning these 4. This video helped me understand it way more.

[@amitgaming9391]

Hii

[@zeina213]

Me too!

[@nuggetforsale3626]

My teacher been teaching this for 3 classes and I learned all of it in 17 mins.

[@duckymomo7935]

Because they cannot cover all 4 like this too fast otherwise it’s too many concepts

[@cripdip895]

Idk why teachers can’t be like this guy. This guy is an absolute lifesaver

[@dilipraj-sy6bp]

You must feel talent even from inside you. love maths then everyone's teaching will be good

[@akshrags-mindmaze3407]

@@dilipraj-sy6bp achha.....

[@bridgeon7502]

Cuz students don't listen then they have to constantly re explain it

[@georgesadler7830]

Mr. Organic Chemistry Tutor ,thank you for a fantastic video/lecture in Plane/Solid Geometry. This topic is a large amount of information to digest.

[@vanamalivemparala6297]

I love this channel so much. It helped me so much in freshmen year.

[@sathvikmalgikar2842]

neatly covered bruh keep going.
thank you for that simplicity which makes it easy to understand i am totally in agreement wih channels like this to replace the current messed up education system

[@tabeeb4962]

U BOUTTA GET ME A 90+ ON THE QUIZ TOMORROW LOL tysm

[@lukewilliams2744]

WhatRbooks Fr

[@shell9918]

i need to know if you passed it, give update

[@tabeeb4962]

@@shell9918 woah this was really from two years ago 😯 YES btw I did pass! Really stepped up my geometry grades back in 9th grade just because of youtube vids 😁

[@marianmalaluan5144]

Thank you so much!!! This topic really confuses me. I appreciate it so much. Accurate but simple explanation.

[@carlluckhardt-quaglia3591]

Thank you. Your videos are helping me to sustain good grades in Freshmen year.

[@anandreddy620]

this is the best explanation i have ever heard

[@randomgaming3313]

Op

[@Fonzie_209]

This helps so much. 😭 I didnt understand at all in my Geometry class, but now I do. 😅 This video is really helpful!!!

[@mathiasbekele1644]

This was a very enthusiastic review that helped me with geometry thank you!!!

[@newworld-fo7ep]

I love his voice... And his teachings

[@akihitonarihisago4276]

Start watching from 16:23

[@akihitonarihisago4276]

Np

[@jeronimoadames6624]

Why

[@Ayush-lw8ut]

ty

[@abhinavjoshi7299]

If you only want to cram!

[@haidenp3511]

@Katie Writes Codes I agree, thanks

[@ramseytarazi2498]

U just saved my math grade
But I still don’t get the orthocenter

[@INNOPID]

Thats the meeting point of the altitudes

[@jasonn_lifts]

It's where the altitudes intersect

[@joshithaa5596]

It is the point of intersection of all the altitudes in a triangle. The ortho centre of an acute triangle lies inside the triangle . The orthocentre of an obtuse triangle always lies outside the triangle . The orthocentre of a right angled triangle lies on the vertex of the right angle.

[@sistersquad4991]

the orthocenter is where all the altitudes meet, and the altitude is the perpendicular segment from the vertex to the opposite side. for a right triangle, the orthocenter will lie on the vertex of the right angle, for a obtuse triangle the orthocenter will lie somewhere outside the triangle, and for an acute triangle the orthocenter will lie somewhere inside the triangle. hope this helped!

[@aryanponnuru2795]

Where all three altitudes form a point of concurrency

[@VIJAYKUMAR-lw7mv]

Thanks to clear my all doubt about centers in a single video...Awsome

[@sarabjeetsinghsaab8509]

I am very thankful to you that you explain this topic in such a easy way

[@Pushed2InsanityYT]

Wish this was given in my freaking textbook. Thanks anyways:)

[@liv4cheers724]

This video may of just saved my ass for the test tomorrow 🙏❤️❤️❤️

[@carm1011]

bro we the same person or what

[@thomasfisher2370]

Glad to know we’re all in the same boat!

[@pierceingram9831]

I now understand the 4 parts of a triangle. It’s always hard for me to remember but this video cemented it in my brain. I use little things to remember the definitions.

[@lady6222]

I recently moved to China and started going to an international school and this is taught in our year 8 classes and all my classmates seem to understand it except me- Maths in Australia seemed so easy compared to maths in China.

[@vvinns2575]

This man is a god
200x better than my math teacher

[@aaghaatproductions1923]

The main thing: perpendicular bisector drawn to sides may not touch the vertices in case of circumcentre. I was just confused about circumcentres and orthocentres. Thanks for clarifying this doubt

[@Sarthak-ys2ji]

Bro earned a like from india❤

[@Shufflewithsree7]

Explanation is really really nice.. just want to point out that in the cases of incenter, circumcenter.. he should clarify about the radius too as students often have bit confusion with what radius to take

[@mathsclassesbyomsir5092]

Hare Krishna Hare Krishna Krishna Krishna Hare Hare
Hare Ram Hare Ram Ram Ram Hare Hare
God bless you thanks

[@joshithaa5596]

🤨🤨🤨

[@TheMemer_]

The only thing that i wanted to hear is that, "the perpendicular bisector doesn't have to pass through the vertex", cause i was thinking, "if i were to draw a line, it can't be perpendicular, passing through vertex, and bisector at the same time, i mean it can, but not always"
*Finally, inner peace*

[@xugaming218]

omy god bro u helped me out so much with my geometry test! tysm!

[@meherukhan9265]

Thanks a lot,,,,,I am from Bangladesh,,,,, I really enjoyed your class🥰

[@anindyaghosh1503]

Perpendickular

[@siddharthpandey640]

Happy to learn geometry from chemistry teacher

[@BodenElholm]

Thanks bro, I have a test tomorrow and you helped clear things up

[@meetchokshi1325]

my geometry teacher never taught us, she just gave us vocal and a quiz, btw reply if ur watching this in 2020

[@patriocabello841]

No

[@meetchokshi1325]

@@patriocabello841 what?

[@kristellemartin594]

Thank you so much!! I hope more people subscribe and learn from you.

[@VihaanRawal-r6c]

Organic Chemistry Tutor, thanks a lot for creating

[@arigelasuhardhika6715]

Awesome... Thanks for making it simpler !!!👏👏🎯🎯

[@topstuff4486]

awesome explanation with these diagram! Excellent work!

[@m4rc3ll2]

clutched for my quiz tomorrow thank u

[@shakirastegaspar7526]

We learned the equivalent of 17:56 minutes in three days in my geometry class

[@Crystal0503]

😸👍Best teacher ever

[@NSNick]

Thank you so much

[@jadenkarle]

Thank you so much, this helped a lot!

[@dawsonthompson5867]

Wow I wish my math teacher could explain it like this! Thanks a lot!

[@deepmalarai818]

Very nicely explained...great work👏👏👍👍

[@silkbag]

I have a quiz on this today, tysm

[@Karan-kw7ju]

Thank so so much for this information

[@kocakmeh]

Great Explanation

[@boncoderz1430]

thanks dude, helped a ton

[@UniverseofMaths]

This saved me for my contest tyyyyyyy

[@MohithRamesh-pk3bu]

I thought you only taught org chem
You earned a sub

[@foxart1387]

Better than my 2 hr lecture

[@hunterspradlin9773]

Made more sense than my teacher did

[@venketreddyranabotu9697]

Thankyou very much sir for this useful vedio.But I would have felt more better if you draw the ortho circle of right angled triangle alsoo.

[@ratqueen7630]

my math teacher

[@fuzzydemon5939]

This lesson is awesome!! But I think these circles may be on the spectrum.😂

[@vidhisingh260]

great video!! thanks so much !!

[@jimaimahbaravilala9446]

omg this is so help full it is so understandable

[@kramer4196]

Thanks bro got a test tmr and you carried

[@patelmeena5535]

Thank you solve my doute ❤

[@alpha-yw1mw]

thank you,God bless you and thank you.

[@TheOrganicChemistryTutor]

Thanks

[@kevinbarrett8977]

This is quality stuff

[@not_yu]

Thanks I went to class and my teacher told us to make a piece of art including these and she never taught us what they were.

[@juliisdiary]

THIS HELPS SO MUCH THANK YOUUU

[@danielames957]

What whiteboard do you use?

[@singedrose2957]

So helpful aaaa

[@xiaoshen194]

do incentre and circumcentre of a triangle coincide?

[@khaithesnail5385]

I've learned more from this dude than my actual geometry teacher

[@insecticaa]

bruh my teacher always makes us write the definition, then he calls on the same ppl (smart kids) and even then only does like 2-5 examples (6 is stretching it) and then after that we just do a kahoot or a worksheet and like HE NEVER EVEN EXPLAINED IT IN THE FIRST PLACE

[@akshrags-mindmaze3407]

@@insecticaa 😂😂

[@akshrags-mindmaze3407]

@@insecticaa which class r u now??

[@insecticaa]

@@akshrags-mindmaze3407 I’m in ap pre calculus now, that comment was 8th grade now i’m in 10th :P

[@sumanbhamboo7459]

Thank you too much 🤩

[@vman50cal69]

Bro this vid helped so much thank you

[@kaushalyadav8007]

Best explanation

[@bhavyaramakrishnan801]

Does the orthocenter for a right triangle always have to be on the hypotenuse or is it just a singular case?

[@sistersquad4991]

always. the orthocenter will always be on the hypotenuse of a right triangle every time... however only for right triangles. for acute triangles, the orthocenter will always be in the triangle, and for obtuse triangles: the orthocenter will always be outside, every time. just remember: right - on, acute - inside, obtuse - outside. hope this helped!

[@sofiediorr]

I only needed
00:26 and 10:17 for incenter and circumcenter for my test

[@aidangebey7115]

thank you.

[@Wolverine_7107]

Why is this in ReptileLegit’s Minecraft Parody playlist?

[@michaelhernandez5784]

Wolverine 7107 LMAOOOO I WAS JUST WONDERING THIS

[@Spartan2Orion]

yeah I was just listening to some MC Parodies then next thing I know I'm back in math class lol

[@jjhood6155]

Deadass lol that’s how I found this

[@EricPham-gr8pg]

If use the ploter to plot sun distance from earth then intersect the center line of each and earth center we may measure accurate

[@BryceKuhl-mw1fq]

Thank you so much!

[@MrStudent1978]

Nice explanation

[@frenchyig9758]

Me; has bid test in two days
Also me; finally understands things teacher has been teaching for almost a month

[@frenchyig9758]

*big
Oops lol

[@ruyasatpathy1237]

thank you, sir

[@touzeeh]

Thanks mate.

[@rickyalvarez8761]

I SWEAR I F****** LOVE YOU...so I’m in advanced honors geometry, and my teacher was gone for a whole week. He came back and he tried to rush us into catching up to where we should’ve been with the extremely fast pace we had. I was absent Monday, and he went over a whole chapter on all these currency points, and he set up a test for today. Tuesday we had practice SAT, and yesterday he was already teaching us on the new chapter without catching up everyone who was absent. I didn’t know S#!+ about the test. But you saved my Sass.💕💕💕

[@rickyalvarez8761]

I got a 97 btw

[@vishnujs6113]

One doubt.. perpendicular should be drawn from mid point of each side for circum centre?? We need only perpendicular right? Does it should be from midpoint only?? We can draw perpendicular from anywhere from the sides..??

[@sistersquad4991]

the perpendicular bisector is drawn from the midpoint, and in a 90 degree angle from that side. however just a perpendicular line does not need to be drawn from the midpoint, but if you are doing a bisector then yes it needs to be from the midpoint.

[@sanowarmasum5350]

Thank you

[@BrktiBerhanu]

Thanks

[@Me.OscarAlberto]

Thanks❤

[@newworld-fo7ep]

Would love to see his face☺

[@NisargaPriyaru]

do all these points exist for any triangle!!?

[@gopikishorala1474]

Thanks a lot excellent tutor

[@fastlearningmcqs]

Off course

[@oneinabillion654]

Is the incenter always the center of the incircle?

[@Xjebin]

16:23

[@sistersquad4991]

yes, because its the angle bisectors so its inside.

[@nirbhay372]

Thanks for remind ☺

[@sanjayprajapat1665]

love from india

[@taniladixon4478]

John 14:6 “ I am the way the truth and the life. The only way to the father is through me”- Jesus Christ❤️🙏✝️

[@SameerSri-f7t]

Shut up

[@Nathan-ix9ov]

Amen❤

[@hamddarnell]

❤️❤️thx bruv

[@zehlestiall9692]

the incenter one is wrong, it is: if you draw a perpendicular line from the incenter to each of the triangle's 3 sides, there, you will be able to draw a circle because those perpendicular lines equal each other.

[@MikaBoMS]

But isn't the incenter the same as the centroid?

[@tejasveerramdoss466]

This man is god

[@BLlTZZ]

Why can’t my teacher be more simple than this instead of over complicating the theorems

[@PolarRecords]

fantastic mc parody

[@TANUSHKUMAR]

Please mention the formulas as well