Question

1. check one answer choice from each list to make each statement true. there is ------ a triangle with side lengths of 14 in., 17 in., and 32 in.

Explanation:

Step1: Apply triangle inequality theorem

For three side lengths $a$, $b$, $c$ to form a triangle, the sum of any two sides must be greater than the third side. Test $14 + 17$ vs $32$:
$\14 + 17 = 31$

Step2: Compare sum to third side

Check if $31 > 32$:
$31 < 32$
This violates the triangle inequality.

Answer:

There is no a triangle with side lengths of 14 in., 17 in., and 32 in.