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    Question

    The sides of a right-angled triangle are in the ratio

    12:13:5. If the total perimeter of the triangle is 120 cm, determine its area.
    A 196 cm² Correct Answer Incorrect Answer
    B 240 cm² Correct Answer Incorrect Answer
    C 540 cm² Correct Answer Incorrect Answer
    D 480 cm² Correct Answer Incorrect Answer

    Solution

    Perimeter of triangle = 120

    12x + 13x + 5x = 120

    Or, 30x = 120

    So, x = 4

    Since, the triangle is right angled, the largest side is the hypotenuse.

    So, area of triangle = (1/2) x base x height = (1/2) x 4 x 12 x 4 x 5 = 480 cm2

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