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    Question

    The base of a triangle is 20 cm and height is 19 cm. The

    height of another triangle of double the area having the base 38 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

    Solution

    Using the formula, Area of the triangle = 1/2 x base x height  ⇒ 1/2 x 20 x 19 = 190 cm2 According to the question Area of the another (second) triangle = 2 × 190 = 380 cm2 Area of the new triangle =1/2 x base x height 380 = 1/2 x 38 x height Therefore, height = (380 x 2)/38 = 20 cm

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