Verified Answer :

by the angle bisector theorem

\(\frac{17.5}{20.1}\)=\(\frac{7.5}{x}\)

17.5x = 20.1 × 7.5

17.5x = 150.75

x = 8.6cm 


Answer:

The correct option is 1.

Step-by-step explanation:

If an angle bisector divides a triangle in two parts, then the line segments of that side will have the same ratio as the other sides of the triangle.

\(\frac{20.1}{x}=\frac{17.5}{7.5}\)

\(20.1\times 7.5=x\times 17.5\)

\(x=\frac{20.1\times 7.5}{17.5}\)

\(x=8.61429\)

\(x\approx 8.6\)

Therefore option 1 is correct.