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    Question

    In a right-angled triangle, the legs are in the ratio

    3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
    A 40 cm Correct Answer Incorrect Answer
    B 52 cm Correct Answer Incorrect Answer
    C 54 cm Correct Answer Incorrect Answer
    D 60 cm Correct Answer Incorrect Answer

    Solution

    Let the legs of the triangle be 3x and 4x, and the hypotenuse is 25 cm. By PythagorasтАЩ theorem: (3x)┬▓ + (4x)┬▓ = 25┬▓ 9x┬▓ + 16x┬▓ = 625 25x┬▓ = 625 x┬▓ = 25 x = 5. Therefore, the lengths of the legs are 3x = 15 cm and 4x = 20 cm. The perimeter of the triangle = 15 + 20 + 25 = 60 cm.

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