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 Problem 69. Square Inscribed in a Triangle. Level: High School, SAT Prep, College

In the figure below, b and h are the base and the altitude of a triangle ABC, s is the side of the square inscribed along the base. Prove that: \(s = \dfrac{b \cdot h}{b+h}\) (s is one-half the harmonic mean of b and h).

Proposed Geometry Problem 69
 


Art and typography of problem 69 using iPad Apps

Art and typography of problem 69 using iPad Apps triangle and square
 

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