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      Question

      The inner-radius of a triangle is 5 cm, and the sum of

      lengths of its sides is 60 cm. What is the area of the triangle (in sq. cm.)?
      A 150 Correct Answer Incorrect Answer
      B 300 Correct Answer Incorrect Answer
      C 500 Correct Answer Incorrect Answer
      D 600 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Semi perimeter S = 60/2 = 30 cm Inner radius = Area of triangle/S ⇒ 5 = A/30 ⇒ Area = 150 sq. cm.

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