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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 3тИЪ15 cm┬▓ Correct Answer Incorrect Answer
    B 54 cm┬▓ Correct Answer Incorrect Answer
    C тИЪ231 cm┬▓ Correct Answer Incorrect Answer
    D 12тИЪ21 cm┬▓ Correct Answer Incorrect Answer

    Solution

    As sides are in ratio of 2:4:5 so perimeter of this triangle =┬а 2K+4K+5K = 22┬а 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 = тИЪ(11 (11 - 4)(11 - 8)(11 - 10))┬а = тИЪ(11├Ч 7 ├Ч 3 ├Ч 1) =┬атИЪ231┬а cm 2

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