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    Question

    The base of a triangle is 24 cm and height is 20 cm. The

    height of another triangle of double the area having the base 32 cm is:
    A 30 cm Correct Answer Incorrect Answer
    B 35 cm Correct Answer Incorrect Answer
    C 18 cm Correct Answer Incorrect Answer
    D 20 cm Correct Answer Incorrect Answer
    E 39 cm Correct Answer Incorrect Answer

    Solution

    Using the formula, Area of the triangle = 1/2 x base x height ⇒ 1/2 x 24 x 20 = 240 cm2 According to the question Area of the another (second) triangle = 2 × 240 = 480 cm2 Area of the new triangle =1/2 x base x height 480 = 1/2 x 32 x height Therefore, height = (480 x 2)/32 = 30 cm

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