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      Question

      If a triangle with base 10 cm has the same area as a

      circle with radius 10 cm, then the corresponding altitude (in cm) of the triangle is:ย 
      A 22 ฯ€ cm Correct Answer Incorrect Answer
      B 24 ฯ€ cm Correct Answer Incorrect Answer
      C 26 ฯ€ cm Correct Answer Incorrect Answer
      D 20 ฯ€ cm Correct Answer Incorrect Answer

      Solution

      Using formula Area of triangle = 1/2 x base x height and Area of circle = ฯ€r2, Let the corresponding altitude of the triangle = a cm. According to the question, Area of the triangle = Area of the circle โ‡’ 1a/2 x 10 = ฯ€ x 10 x 10 โ‡’a = 2 x 10 ฯ€ โ‡’a = 20 ฯ€ cm

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