By the Triangle Inequality Theorem which set of side lengths could create a triangle? A) 4, 8, 2 B) 5, 9, 6 C) 6, 8, 16 D) 10, 4, 3

Question

Jacquelyn

Mathematics

17 October, 15:26

By the Triangle Inequality Theorem which set of side lengths could create a triangle? A) 4, 8, 2 B) 5, 9, 6 C) 6, 8, 16 D) 10, 4, 3

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Lola · Answer 1

The answer is B. For a triangle to be possible, no side can be longer than the sum of the lengths of the other two sides. For triangle A, 8 is longer than 4+2, so it is not possible. For triangle B, no side is greater than the sum of the other sides, so it is possible. For triangle C, 16 is greater than 6+8, so it is not possible. For triangle D, 10 is greater than 4+3, so it is not possible.