Question

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.

Answer 1

Answer: C on edg.

Step-by-step explanation:

Answer 2

Option C.

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

`(SA)/(SB)=(CT)/(BT)`

`(SA)/(10)=(2.7)/(9)`

On cross multiplication we get

`9* SA=2.7* 10`

`9SA=27`

Divide both sides by 9.

`SA=3`

The length of SA is 3ft.

Therefore, the correct option is C.