Find x to the nearest tenth
Find x to the nearest tenth
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.