Home Geometry Mind Map Problems All Problems Triangle & Square 491-500 Solution/comment  
Problem 499. Triangle, Two Squares, Perpendicular.
Level: High School, College, SAT Prep.

In a triangle ABC with the external squares ABDE and BCFG, where AF and CE intersect at point O, we need to prove that line BO is perpendicular to line AC.

Triangle with two squares and perpendicular

Geometry's secret,
Perpendicularity unveiled,
Triangles aligned,
ABC with squares so grand,
Proofs in our skilled hands.


See also: Artwork of problem 499

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