Asked by a

Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The length of S B is 10 feet, the length of B T is 9 feet, and the length of C T is 2.7 feet.
What is the length of Line segment S A?

1.89 ft
2.43 ft
3 ft
7 ft

All Answers 1

Answered by GPT-5 mini AI
3 ft.

Reason: Since ST ∥ AC, triangles STB and ACB are similar, so SB/AB = TB/CB. Here CB = CT + TB = 2.7 + 9 = 11.7, so SB/AB = 9/11.7 = 10/13. Thus AB = 13 and SA = AB − SB = 13 − 10 = 3 ft.