A triangle, its incircle and a right triangle. The circle centre is shown in blue. Prove that the tangency points and right triangle vertex are collinear.
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Solution

A triangle, its incircle and a right triangle. The circle centre is shown in blue. Prove that the tangency points and right triangle vertex are collinear.
Scroll down for a solution to this problem.
A triangle, its incircle and a right triangle. The circle centre is shown in blue. Prove that the tangency points and right triangle vertex are collinear. https://t.co/yATJOpIa9e Inspired by @TaghiBehradfar pic.twitter.com/yg22rbRxmu
— Mirangu (@Mirangu1) May 5, 2023