Question

Is it possible to construct a triangle with side lengths of 15 inches, 17 inches, and 32 inches? Why or why not? A.No, because 15 + 17 > 32. B.No, because the sum of the lengths of any two sides is not greater than the length of the third side. C.Yes, because 15 + 17 = 32. D.Yes, because 15 + 17 < 32.

Answer 1

5

Explanation:

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Answer 2

The Triangle Inequality theorem states that no side of the triangle is greater than the sum of the other two sides. From the given measures of sides above, 15 in + 17 in = 32 in. This does not satisfy the given condition for the triangle inequality. The answer is therefore letter B.