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    Question

    Compute the diameter of the incircle of a triangle where

    the semi-perimeter is 30 cm and the area is 90 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 = 90 / 30 = 3 cm

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

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