Problem #WSP-000317

Problems Geometry Plane geometry Triangles Types of triangles Right-angled triangles Pythagorean theorem and its converse

Problem

Let $u$ and $v$ be two positive integers, with $u > v$ . Prove that a triangle with side lengths $u^{2} - v^{2}$ , $2 u v$ and $u^{2} + v^{2}$ is right-angled.

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