Question

What is the length of SA?
1.89 ft
2.43 ft
O
3 ft
7 ft

Answer 1

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.

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:

`(BS)/(SA)=(BT)/(TC)` ...Basic Proportionality Theorem

Substituting the values we get

`(10)/(SA)=(9)/(2.7)\\\\SA=(27)/(9)=3\\\\\therefore SA =3\ ft`

Therefore the length of SA is 3 ft.