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    Question

    Determine the diameter of the incircle of a triangle

    whose area is 60 cm² and the semi-perimeter is 20 cm.
    A 6 cm Correct Answer Incorrect Answer
    B 2 cm Correct Answer Incorrect Answer
    C 4 cm Correct Answer Incorrect Answer
    D 9 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    Radius of in-circle = area of triangle / semi-perimeter = 60 / 20 = 3 cm Therefore, diameter of the in-circle = 2 × 3 = 6 cm

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