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3 cm, 4 cm and 8 cm do not make a triangle. If 2 cm is added to each length, do they make one now?

Class 7Triangle InequalityTriangles
  • ANo: 5 + 6 < 10
  • BNo: the lengths still differ
  • CYes: 6 + 10 > 5 only
  • DYes: 5 + 6 > 10

Step-by-Step Solution

New lengths 5, 6, 10: 5 + 6 = 11 > 10 ✓. Adding the same amount to all three helps the two short sides twice but the long side only once.
Answer: D) Yes: 5 + 6 > 10

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