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      Question

      If a triangle with base 15 cm has the same area as a

      circle with radius 15 cm, then the corresponding altitude (in cm) of the triangle is:Β 
      A 22 Ο€ cm Correct Answer Incorrect Answer
      B 24 Ο€ cm Correct Answer Incorrect Answer
      C 26 Ο€ cm Correct Answer Incorrect Answer
      D 30 Ο€ cm Correct Answer Incorrect Answer

      Solution

      Using formula Area of triangle = 1/2 x base x height and Area of circle = Ο€r2, Let the corresponding altitude of the triangle = a cm. According to the question, Area of the triangle = Area of the circle β‡’ 1a/2 x 15 = Ο€ x 15 x 15 β‡’a = 2 x 15 Ο€ β‡’a = 30 Ο€ cm

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