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Meena checks whether 4 cm, 7 cm and 12 cm make a triangle. She writes "12 + 7 > 4, so yes". What went wrong?

Class 7Triangle InequalityTriangles
  • AShe must check 4 + 12 > 7; it is a triangle
  • BShe must check 12 − 7 > 4; it is a triangle
  • CNothing, she is right
  • DShe must check 4 + 7 > 12; no triangle

Step-by-Step Solution

The test that matters is the two shorter sides against the longest: 4 + 7 = 11 < 12. So no triangle is possible.
Answer: D) She must check 4 + 7 > 12; no triangle

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