Incomplete Question, Figure is not there the required figure is attached below.
Answer:
The Correct option is third one 3 ft.
Therefore length of SA is 3 ft.
Step-by-step explanation:
Given:
BS = 10 ft
BT = 9ft
TC = 2.7 ft
TS || CA
To Find:
SA = ?
Solution:
Basic Proportionality Theorem:
Basic Proportionality Theorem States that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".
Here, TS || CA ......Given:
[tex]\dfrac{BS}{SA}=\dfrac{BT}{TC}[/tex] ...Basic Proportionality Theorem
Substituting the values we get
[tex]\dfrac{10}{SA}=\dfrac{9}{2.7}\\\\SA=\dfrac{27}{9}=3\\\\\therefore SA =3\ ft[/tex]
Therefore the length of SA is 3 ft.
