Determine whether the given lengths can be sides of a right triangle. Explain. 10 in., 24 in., 26 in.

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10 in, 24 in, and 26 in. By the Converse of the Pythagorean Theorem, the lengths must satisfy the equation c² = a² + b². Let 26 = hypotenuse and 10 and 24 the legs of the triangle.

26² = 10² + 24²

676 = 100 + 576

676 = 676.

Yes, they can be lengths of a right triangle.