Geometry, Theorems and Problems

Geometry Problem 1198: Right Triangle, Square, Rectangle, Quadrilateral, Altitude, Equal Areas. Tiled background image: Intihuatana, Machu Picchu. Online High School, College.

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The figure shows a right triangle ABC with the square ABDE. Line FAG is perpendicular to AC so that AF = AG. Line BHK is perpendicular to AC and angle GKH = 90 degrees. Prove that the area of rectangle AHKG is equal to the area of quadrilateral AFDC.
See also: Isolines of the problem 1198.
  

Geometry Problem 1198: Right Triangle, Square, Rectangle, Quadrilateral, Altitude, Equal Areas.
 
 

 

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Last updated: Mar 11, 2016