Question

In triangle ABC the length of side a AB is 10 inches and a length of side BC is 17 inches which of the following could be the length of side AC 16, 5, 32, 29

Answer 1

AC=16 inches

Explanation:

Given two side lengths of a triangle as x and y (x greater than y), the third side z must satisfy the inequality:

x - y ≤ z ≤ x + y

The side lengths are x=17 and y=10, thus:

17 - 10 ≤ z ≤ 17 + 10

7 ≤ z ≤ 27

The third side must be between 7 and 27 inches. The only choice that satisfies the conditions is AC=16 inches