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Problem 519: Triangle, Squares, Altitude, Perpendicular, Rectangle, Area. Level: High School, College, SAT Prep.

The drawing shows a triangle ABC with the squares ABDE and BCFG and the altitude BH. If HMN and HPQ are perpendicular to BC and AB respectively, prove that the areas of the rectangles BDQP and BMNG are equal.

Geometry problem about triangle, square, perpendicular, rectangle, and area

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