Question

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?

Answer 1

Answer:

16 inches

Step-by-step explanation:

Answer 2

The length of the side AC is 16 inches.

Calculation of the length of side AC:

Since

we know that two side lengths of a triangle as x and y (x greater than y), the third side z should  satisfy the inequality

So, it can be like

x - y ≤ z ≤ x + y

Also,

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

So,

17 - 10 ≤ z ≤ 17 + 10

7 ≤ z ≤ 27

Therefore, the AC should be 16 inches.

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