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      Question

      The base of a triangle is 18 cm and height is 14 cm. The

      height of another triangle of double the area having the base 21 cm is:
      A 16 cm Correct Answer Incorrect Answer
      B 20 cm Correct Answer Incorrect Answer
      C 30 cm Correct Answer Incorrect Answer
      D 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 14 = 126 cm2 According to the question Area of the another (second) triangle = 2 × 126 = 252 cm2 Area of the new triangle =1/2 x base x height 252 = 1/2 x 21 x height Therefore, height = (252 x 2)/21 = 24 cm

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