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.

Question

Mathematics

Kaylie

27 February, 22:08

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.

+2

Answers (2)

Know the Answer?

Dominik Lawson · Answer 1

Dominik Lawson 28 February, 00:05

0

It is indeed letter

B

Brandon Benton · 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.