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    Question

    Find the area of triangle having sides in the ratio

    2:4:5 & the perimeter of the triangle is 22 cm
    A 3√15 cm² Correct Answer Incorrect Answer
    B 54 cm² Correct Answer Incorrect Answer
    C √231 cm² Correct Answer Incorrect Answer
    D 12√21 cm² Correct Answer Incorrect Answer

    Solution

    As sides are in ratio of 2:4:5 so perimeter of this triangle =  2K+4K+5K = 22  Or 11K = 22 or K = 2 So, sides are 4cm, 8cm & 10cm. Here s = semi perimeter = (4 + 8 + 10)/2 = 22/2 = 11 cm So area of this triangle = √(11 (11 - 4)(11 - 8)(11 - 10))  = √(11× 7 × 3 × 1) = √231  cm 2

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