C. 25 inches
This follows 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. Therefore, for triangle ABC with side lengths AB = 14 inches and BC = 19 inches, the possible range for the length of side AC is greater than 19 - 14 = 5 inches and less than 19 + 14 = 33 inches.
Among the options given, only 25 inches falls within this range.
In triangle ABC, the length of side AB is 14 inches and the length of side BC is 19 inches. Which of the following could be the length of side AC?
A.
38 inches
B.
3 inches
C.
25 inches
D.
35 inches
1 answer
1 answer