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Geometry Level 4

In the figure above, a square A B C D ABCD of area 225, E E is the intersection of B D BD and the semicircle of diameter A D AD , and C F CF is tangent to the semicircle. Then, what is the area of D E F DEF ?


The answer is 22.5.

A Former Brilliant Member by A Former Brilliant Member

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3 solutions

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Ahmad Saad
May 16, 2016

5 Helpful 0 Interesting 0 Brilliant 1 Confused

Good solution. If you add angles by chord ED=45, it might be more helpful to some.

Niranjan Khanderia - 5 years ago

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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