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      Question

      If a triangle with base 6 cm has the same area as a

      circle with radius 6 cm, then the corresponding altitude (in cm) of the triangle is:Β 
      A 8 Ο€ cm Correct Answer Incorrect Answer
      B 12 Ο€ cm Correct Answer Incorrect Answer
      C 10 Ο€ cm Correct Answer Incorrect Answer
      D 14 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 6 = Ο€ x 6 x 6 β‡’a = 2 x 6 Ο€ β‡’a = 12 Ο€ cm

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