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    Question

    The base of a triangle is 18 cm and height is 15 cm. The

    height of another triangle of double the area having the base 27 cm is:
    A 16 cm Correct Answer Incorrect Answer
    B 20 cm Correct Answer Incorrect Answer
    C 30 cm Correct Answer Incorrect Answer
    D 13 cm Correct Answer Incorrect Answer
    E 24 cm Correct Answer Incorrect Answer

    Solution

    Using the formula, Area of the triangle = 1/2 x base x height  ⇒ 1/2 x 18 x 15 = 135 cm2 According to the question Area of the another (second) triangle = 2 × 135 = 270 cm2 Area of the new triangle =1/2 x base x height 270 = 1/2 x 27 x height Therefore, height = (270 x 2)/27 = 20 cm

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