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To test quickly whether three lengths make a triangle, which single check is enough?

Class 7Triangle InequalityTriangles
  • ASum of the two longer ones > shortest
  • BLongest > shortest
  • CSum of the two shorter ones > longest
  • DAll three add up to more than 10

Step-by-Step Solution

If the two shorter sides together beat the longest side, every other pair (which includes the longest side) automatically beats the remaining side.
Answer: C) Sum of the two shorter ones > longest

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