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      Question

      If a triangle with base 4 cm has the same area as a

      circle with radius 4 cm, then the corresponding altitude (in cm) of the triangle is: 
      A 8 π cm Correct Answer Incorrect Answer
      B 12 π cm Correct Answer Incorrect Answer
      C 10 π cm Correct Answer Incorrect Answer
      D 14 π cm Correct Answer Incorrect Answer

      Solution

      Using formula Area of triangle = 1/2 x base x height and Area of circle = πr2, Let the corresponding altitude of the triangle = a cm. According to the question, Area of the triangle = Area of the circle ⇒ 1a/2 x 4 = π x 4 x 4 ⇒a = 2 x 4 π ⇒a = 8 π cm

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