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      Question

      The base of a triangle is 18 cm and height is 12 cm. The

      height of another triangle of double the area having the base 24 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 18 x 12 = 108 cm2 According to the question Area of the another (second) triangle = 2 × 108 = 216 cm2 Area of the new triangle =1/2 x base x height 216 = 1/2 x 24 x height Therefore, height = (216 x 2)/24 = 18 cm

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