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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