Pause and Solve: 2024 AIME II Problem 10 with hints.

In the Pause and Solve series, you are encouraged to solve a maths problem on your own. The required results will be recalled and you will be given hints. This video describes two results that are very useful for math olympiads.
In this video, I will help you solve a cute geometry problem from 2024 AIME II. So get a pen and paper ready!
If you are stuck somewhere let me know in the comments below.