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Can a triangle have a perimeter of 20 cm with one side of 10 cm?

Class 7Triangle InequalityTriangles
  • ANo, 10 cm is too short
  • BYes, any lengths will do
  • CYes, e.g. 5, 5, 10
  • DNo, the other two add to only 10 cm

Step-by-Step Solution

The other two sides add to 20 − 10 = 10 cm, which is not greater than 10 cm. So (5, 5, 10) and every other choice lie flat.
Answer: D) No, the other two add to only 10 cm

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