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    Question

    Find the area of triangle having sides in the ratio

    3:5:7 & the perimeter of the triangle is 60 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 3:5:7 so perimeter of this triangle =  3K+ 5K+ 7K = 60 Or 15K = 60 or K = 4 So, sides are 12cm, 20 cm & 28 cm. Here s = semi perimeter = (12 + 20 + 28)/2 = 60/2 = 30 cm So area of this triangle = √(30 (30 - 12)(30 - 20)(30 - 28))  = √(30 × 18 × 10 × 2) = 60√3  cm 2

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