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    Question

    Find the area of triangle having sides in the ratio

    4:5:7 & the perimeter of the triangle is 16 cm
    A 16√6 cm² Correct Answer Incorrect Answer
    B 60√3 cm² Correct Answer Incorrect Answer
    C 36√3 cm² Correct Answer Incorrect Answer
    D 96 cm² Correct Answer Incorrect Answer

    Solution

    As sides are in ratio of 4:5:7 so perimeter of this triangle =  4K+ 5K+ 7K = 32 Or 16K = 32 or K = 2 So, sides are 8cm, 10 cm & 14 cm. Here s = semi perimeter = (8 + 10 + 14)/2 = 32/2 = 16 cm So area of this triangle = √(16 (16 - 8)(16 - 10)(16 - 14))  = √(16 × 8 × 6 × 2) = 16√6  cm 2

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