Geometry Problems, Online Education

Math: Geometry Problem 1111: Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean. Level: High School, College

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The figure shows a right triangle ABC with the angle bisector BQ and the external squares ABDE and BCFG. AF meets BC at M and CE meets AB at N. ED and FG meet at H, EA and FC meet at P. Prove that area ABC (S) is one-half of the geometric mean of areas EHFP (S1) and BMQN (S2) that is Problem 1111 formula to prove.
 
 

Geometry Problem 1111 Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean
 

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Last updated: Apr 20, 2015 by Antonio Gutierrez