MathDB

2015 F11 E9

Part of MBMT Team Rounds

Problems(1)

MBMT Team -- Fermat #11/Euler #9

Source:

3/29/2015
The right triangle below has legs of length 11 and 22. Find the sum of the areas of the shaded regions (of which there are infinitely many), given that the regions into which the triangle has been divided are all right triangles.