Monday, May 19, 2008

Geometry Problem 99

See complete Problem 99
Circle Area, General Extension to Pythagoras' Theorem. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

1 comment:

  1. If we take the area of semicricle with diameter AO as x and semicircle woth diameter DC as y, then by pythagoras theorem on the trianle ABC, we can say that

    Now using the pythagoras theorem in right angled triangle DOC,
    We can say that

    putting this value of y in above equation we can prove that