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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 16тИЪ6 cm┬▓ Correct Answer Incorrect Answer
      B 60тИЪ3 cm┬▓ Correct Answer Incorrect Answer
      C 36тИЪ3 cm┬▓ Correct Answer Incorrect Answer
      D 96 cm┬▓ Correct Answer Incorrect Answer

      Solution

      As sides are in ratio of 4:5:7 so perimeter of this triangle =┬а 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 = тИЪ(16 (16 - 8)(16 - 10)(16 - 14))┬а = тИЪ(16 ├Ч 8 ├Ч 6 ├Ч 2) = 16тИЪ6┬а cm 2

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