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      Question

      The radius of the incircle of a triangle is 6 cm. if the

      area of the triangle is 30 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 12 cm Correct Answer Incorrect Answer

      Solution

      Area of any triangle = inradius of triangle `xx`  Semiperimeter So 30 = 6 `xx` S or S = 30/6 = 5 cm; So perimeter = 2S =2 `xx` 5 = 10 cm

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