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Solve using the Pythagorean Theorem The length of the legs of a right triangle are given. Find the hypotenuse. a = 24, b = 45 and c = ? a² + b² = c² {a and b are the legs and c is the hypotenuse} 24² + 45² = c² {substituted into Pythagorean Theorem} 576 + 2,025 = c² {squared 24 and 45} 2,601 = c² {added on left side} c = 51 {took square root of both sides} hypotenuse = 51 © Algebra House |