Use the triangle inequality theorem to find the possible side lengths of a triangle.

Use the triangle inequality theorem to find the possible side lengths of a triangle.

Can a triangle have sides with the given lengths? Explain.

1ft, 5ft, 8ft

Choose the correct statement below.

A.

No, because 1+5<8

contradicts the triangle inequality theorem.

B.

No, because 8+1>5

contradicts the triangle inequality theorem.

C.

Yes, because 1+5<8

satisfies the triangle inequality theorem.

D.

Yes, because 8+1>5

satisfies the triangle inequality theorem.

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