The odd couple

A semicircle with two inscribed triangles The tangency points of the incircle of the bigger triangle are shown. What is the triangle area proportion orange : blue?

Scroll down for a solution to this problem.


The proportion orange : blue is 1 : 2.

Solution by Dr Rick.


The odd couple
What is strange today ?
Just when you don’t go the same way
It happens that we are terrified
And don’t know what is normal
When things or people are not formal
We cannot always be the same
But everything still remains
Sometimes it lasts
Sometimes it breaks


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