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tankabanditka [31]
3 years ago
15

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.

Mathematics
2 answers:
maksim [4K]3 years ago
8 0

Answer:

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

\dfrac{SA}{SB}=\dfrac{CT}{BT}

\dfrac{SA}{10}=\dfrac{2.7}{9}

On cross multiplication we get

9\times SA=2.7\times 10

9SA=27

Divide both sides by 9.

SA=3

The length of SA is 3ft.

Therefore, the correct option is C.

valentina_108 [34]3 years ago
7 0

Answer: C on edg.

Step-by-step explanation:

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