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.
24 inches
D.
35 inches
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
For triangle ABC, AB = 14 inches and BC = 19 inches.
Let's evaluate the possible lengths of side AC:
A. 38 inches: 14 + 19 = 33 < 38. This choice is possible.
B. 3 inches: 3 + 14 = 17 < 19. This choice is not possible.
C. 24 inches: 14 + 19 = 33 < 24. This choice is not possible.
D. 35 inches: 14 + 19 = 33 < 35. This choice is possible.
Therefore, the possible lengths for side AC are 38 inches and 35 inches.
The correct answer is A. 38 inches and D. 35 inches.