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    Question

    If a triangle with base 15 cm has the same area as a

    circle with radius 15 cm, then the corresponding altitude (in cm) of the triangle is: 
    A 22 π cm Correct Answer Incorrect Answer
    B 24 π cm Correct Answer Incorrect Answer
    C 26 π cm Correct Answer Incorrect Answer
    D 30 π cm Correct Answer Incorrect Answer

    Solution

    Using formula Area of triangle = 1/2 x base x height and Area of circle = πr2, Let the corresponding altitude of the triangle = a cm. According to the question, Area of the triangle = Area of the circle ⇒ 1a/2 x 15 = π x 15 x 15 ⇒a = 2 x 15 π ⇒a = 30 π cm

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