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, s_{1}, s_{2},
s_{3}, s_{n} are the side of the squares
inscribed. Prove that: \(s_n = \dfrac{b \cdot h^n}{(b+h)^n}\).