Which of the following sets could not be the lengths of the sides of a triangle. {11,14, 25} {5, 6, 10} {4, 4, 5} {1, 2, 2}

Question

Mathematics

Mara Branch

2 May, 17:12

Which of the following sets could not be the lengths of the sides of a triangle. {11,14, 25} {5, 6, 10} {4, 4, 5} {1, 2, 2}

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Answers (1)

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Landin · Answer 1

A triangle is only possible if you can add any two sides and have the sum be larger than the third side. This happens with choice B, C, and D.

With choice A, we have 11+14 = 25 not larger than the third side of 25. So a straight line is possible and it's not possible to draw a triangle with these dimensions.

Answer: Choice A

note: This is using the triangle inequality theorem