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    Question

    Calculate the diameter of the in-circle of a triangle whose

    semi-perimeter is 20 cm and its area is 60 cm².
    A 6 cm Correct Answer Incorrect Answer
    B 10 cm Correct Answer Incorrect Answer
    C 12 cm Correct Answer Incorrect Answer
    D 4 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    Radius of incircle = Area of triangle / Semi-perimeter = 60 / 20 = 3 cm

    Therefore, diameter of the incircle = 2 × 3 = 6 cm

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