A mathematic relationship between sides of right triangles specifying that the length of the HYPOTENUSE (longest side) squared equals the sum of the lengths of the other two sides squared. It is often expressed as: \\\"a² + b² = c².\\\" The theorem can be used to solve for any side of a right triangle where the lengths of the other two sides are known. To solve for side \\\"a,\\\" use the formula \\\"a² = c² - b².\\\" To solve for side \\\"b,\\\" use the formula \\\"b² = c² - a².\\\"