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Problem 70. Squares 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, s1, s2, s3, sn are the side of the squares inscribed. Prove that: $$s_n = \dfrac{b \cdot h^n}{(b+h)^n}$$.    See also: Poster of problem 70.

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