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? a) 1.89 ft b) 2.43 ft c) 3 ft d) 7 ft.

Option C.

Step-by-step explanation:

Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.

Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.

Using triangle proportionality theorem we get

On cross multiplication we get

Divide both sides by 9.

The length of SA is 3ft.

Therefore, the correct option is C.