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    Question

    In a triangle, the inradius is 6 cm, the circumradius is

    9 cm, and the area is 54 cm². What is the semiperimeter of the triangle? 
    A 15 cm Correct Answer Incorrect Answer
    B 9 cm Correct Answer Incorrect Answer
    C 20 cm Correct Answer Incorrect Answer
    D 21 cm Correct Answer Incorrect Answer

    Solution

    The area of a triangle is given by A = r × s, where r is the inradius and s is the semiperimeter. Substituting the given values, 54 = 6 × s, so s = 54 / 6 = 9 cm. Correct answer: b) 9 cm

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