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    Question

    Find out the diameter of the incircle of a given triangle

    with a semi-perimeter of 24 cm and an area of 72 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 = 72 / 24 = 3 cm

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

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