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      Question

      If the area of a triangle is 1080 cm2 and

      base: corresponding altitude is 3:5, then the altitude of the triangle is:
      A 70 cm Correct Answer Incorrect Answer
      B 48 cm Correct Answer Incorrect Answer
      C 80 cm Correct Answer Incorrect Answer
      D 60 cm Correct Answer Incorrect Answer

      Solution

      Using the formula, Area of the triangle = 1/2 x base x height ┬а Let the base and altitude be 3x and 5x respectively. According to question, тЗТ 1/2 x base ├Ч altitude = 1080 cm2 or, тЗТ 1/2 x (3x) x (5x) = 1080 тЗТ 15x2 = 2160 тЗТ x2 = 2160/15 тЗТ x2 = 144 тЗТ x = тИЪ144 тЗТ x = 12 cm Altitude of a triangle = 5x = 5 ├Ч 12 cm = 60 cm

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