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A gardener has three ropes of 12 m, 5 m and 17 m. Can he peg them out as a triangular flower bed?

Class 7Triangle InequalityTriangles
  • ANo, 17 − 12 > 5
  • BYes
  • CNo, 12 + 5 = 17, so it lies flat
  • DYes, it is right-angled

Step-by-Step Solution

The two shorter ropes add up to exactly 17 m, the same as the longest, so they can only lie along one straight line. (17 − 12 = 5 is not greater than 5 either.)
Answer: C) No, 12 + 5 = 17, so it lies flat

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