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    Question

    The sides of a triangle are in the ratio 7:24:25. If the

    area of the triangle is 336 cm², what is the perimeter of the triangle?
    A 100 cm Correct Answer Incorrect Answer
    B 125 cm Correct Answer Incorrect Answer
    C 112 cm Correct Answer Incorrect Answer
    D 145 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    Since, the sides of the triangle are in ratio 7:24:25, the given triangle is a right-angled triangle.

    Let the three sides of the triangle be '7x' cm, '24x' cm and '25x' cm, respectively.

    So, area of the triangle = (1/2) × (7x) × 24x = 336

    Or, 84x² = 336

    Or, x² = 4

    So, x = ±2

    Since, length of side cannot be negative, x = 2

    So, required perimeter = 2 × (7 + 24 + 25) = 2 × 56 = 112 cm

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