In triangle ABC, the length of side AB is 15 inches and the length of side BC is 22 inches. Which of the following could be the length of side AC?

A.
29 inches
B.
42 inches
C.
39 inches
D.
5 inches

1 answer

A. 29 inches

To find the possible length of side AC, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, AB = 15 inches and BC = 22 inches. So, for side AC, we have:

15 + 22 > AC
37 > AC

Therefore, AC could be less than 37 but not equal to or greater than 37. Therefore, the possible length of side AC could be 29 inches.