Stuck in the middle

A right triangle with semicircles along its perpendicular sides having lengths a and b. Two smaller inscribed circles. What is the proportion blue : red in terms of a and b?

Scroll down for a solution to this problem.


Blue : red is a2/b2.

Solution by Peter Gallin.


Stuck in the middle
Clowns to the left of me
Jokers to the right
Here I’m stuck in the middle with you
Yes, I’m stuck in the middle with you
And I’m wondering what it is I should do….

A song from (Stealers Wheel)

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