The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?

Let the shorter leg be x inches, so the other leg is 2x + 8 inches. By the Pythagorean theorem, x² + (2x + 8)² = 52², which gives x = 20; the longer leg is therefore 48 inches. The perimeter is 20 + 48 + 52 = 120 inches, so the answer is 120 in.

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