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      Question

      The radius of the incircle of a triangle is 8 cm. if the

      area of the triangle is 56 cm 2 , then its perimeter is?
      A 6 cm Correct Answer Incorrect Answer
      B 8 cm Correct Answer Incorrect Answer
      C 10 cm Correct Answer Incorrect Answer
      D 14 cm Correct Answer Incorrect Answer

      Solution

      Area of any triangle = inradius of triangle `xx`  Semiperimeter So 56 = 8 `xx` S or S = 56/8 = 7 cm; So perimeter = 2S =2 `xx` 7 = 14 cm

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