Geometry, Theorems and Problems

Geometry Problem 1200: Square, Right Triangle, Perpendicular, 90 Degrees, Equal Areas. Tiled background image: Intihuatana, Machu Picchu. Online High School, College.

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The figure shows a square ABCD with the right triangles EBF and GDH. CP and CQ are perpendicular to BF and DG, respectively. AM and AN are perpendicular to EB and DH, respectively. Prove that the areas of triangles CPQ and AMN are equal.

  

Geometry Problem 1200: Square, Right Triangle, Perpendicular, 90 Degrees, Equal Areas.
 
 

 

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Last updated: Mar 20, 2016