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      Question

      The base of a triangle is 25 cm and height is 21 cm. The

      height of another triangle of double the area having the base 30 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 25 x 21 = 262.5 cm2 According to the question Area of the another (second) triangle = 2 × 262.5 = 525 cm2 Area of the new triangle =1/2 x base x height 525 = 1/2 x 30 x height Therefore, height = (525 x 2)/30 = 35 cm

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