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.

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:

$\dfrac{BS}{SA}=\dfrac{BT}{TC}$ ...Basic Proportionality Theorem

Substituting the values we get

$\dfrac{10}{SA}=\dfrac{9}{2.7}\\\\SA=\dfrac{27}{9}=3\\\\\therefore SA =3\ ft$

Therefore the length of SA is 3 ft.