Heron's Formula · Class 9 · CBSE Mathematics

The sides of a triangular plot are in the ratio 3:5:7 and its perimeter is 300text{ m}. What is its largest side?

Practice question from Heron's Formula (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-EEB208

The sides of a triangular plot are in the ratio 3:5:73:5:7 and its perimeter is 300 m300\text{ m}. What is its largest side?

  1. A.50 m
  2. B.100 m
  3. C.140 mCorrect answer
  4. D.150 m

Solution

Let the sides be 3x3x, 5x5x, and 7x7x. The perimeter is 3x+5x+7x=15x=300 m3x + 5x + 7x = 15x = 300\text{ m}, which gives x=20x = 20. The largest side is 7x=7×20=140 m7x = 7 \times 20 = 140\text{ m}.

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