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    Question

    If a triangle with base 4 cm has the same area as a

    circle with radius 4 cm, then the corresponding altitude (in cm) of the triangle is:┬а
    A 8 ╧А cm Correct Answer Incorrect Answer
    B 12 ╧А cm Correct Answer Incorrect Answer
    C 10 ╧А cm Correct Answer Incorrect Answer
    D 14 ╧А cm Correct Answer Incorrect Answer

    Solution

    Using formula Area of triangle = 1/2 x base x height and Area of circle = ╧Аr2, Let the corresponding altitude of the triangle = a cm. According to the question, Area of the triangle = Area of the circle тЗТ 1a/2 x 4 = ╧А x 4 x 4 тЗТa = 2 x 4 ╧А тЗТa = 8 ╧А cm

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