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      Question

      If the area of a triangle is 1125 cm2 and

      base: corresponding altitude is 2:5, then the altitude of the triangle is:
      A 33 cm Correct Answer Incorrect Answer
      B 75 cm Correct Answer Incorrect Answer
      C 60 cm Correct Answer Incorrect Answer
      D 36 cm Correct Answer Incorrect Answer

      Solution

      Using the formula, Area of the triangle = 1/2 x base x height Β  Let the base and altitude be 2x and 5x respectively. According to question, β‡’ 1/2 x base Γ— altitude = 1125 cm2 or, β‡’ 1/2 x (2x) x (5x) = 1125 β‡’ 10x2 = 2250 β‡’ x2 = 2250/10 β‡’ x2 = 225 β‡’ x = √225 β‡’ x = 15 cm Altitude of a triangle = 5x = 5 Γ— 15 cm = 75 cm

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