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Which set of side lengths cannot form a triangle? (screen shot attached)

Which set of side lengths cannot form a triangle? (screen shot attached)-example-1

1 Answer

7 votes

Answer:

7in, 7in, and 15 in

Explanation:

Based on the Triangle Inequality Theorem that states that the sum of any 2 sides of a triangle must be greater than the measure of the third side, we can find what set of lengths cannot form a triangle.

The only set that does not follow the theorem is the set with lengths 7in, 7in, and 15in. It does not follow the theorem because...

7 + 7 < 15 (which should not be true based on the theorem)

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