Observe the given figure,
Since, Line ST is parallel to the line AC.
Therefore, By Basic Proportionality Theorem which states
" If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion".
Therefore, \(\frac{SB}{SA} = \frac{BT}{TC}\)
\(\frac{10}{SA} = \frac{9}{2.7}\)
By cross multiplying, we get
\(SA = \frac{2.7 \times 10}{9}\)
SA = 3 ft
Therefore, the length of SA is 3 feet.
