Respuesta :

by the angle bisector theorem

[tex] \frac{17.5}{20.1} [/tex]=[tex] \frac{7.5}{x} [/tex]

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.

[tex]\frac{20.1}{x}=\frac{17.5}{7.5}[/tex]

[tex]20.1\times 7.5=x\times 17.5[/tex]

[tex]x=\frac{20.1\times 7.5}{17.5}[/tex]

[tex]x=8.61429[/tex]

[tex]x\approx 8.6[/tex]

Therefore option 1 is correct.