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      Question

      The sides of a triangle are in the ratio 7:24:25. If the

      area of the triangle is 336 cm², what is the perimeter of the triangle?
      A 100 cm Correct Answer Incorrect Answer
      B 125 cm Correct Answer Incorrect Answer
      C 112 cm Correct Answer Incorrect Answer
      D 145 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      Since, the sides of the triangle are in ratio 7:24:25, the given triangle is a right-angled triangle.

      Let the three sides of the triangle be '7x' cm, '24x' cm and '25x' cm, respectively.

      So, area of the triangle = (1/2) × (7x) × 24x = 336

      Or, 84x² = 336

      Or, x² = 4

      So, x = ±2

      Since, length of side cannot be negative, x = 2

      So, required perimeter = 2 × (7 + 24 + 25) = 2 × 56 = 112 cm

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