Question

use the triangle angle bisector theorem to find the value of x.

a.49
b.14
c.16
d.24

Answer 1

Answer:

C

Step-by-step explanation:

The Triangle Angle Bisector theorem says that and angle bisector will divide the opposite side into 2 segments that are proportional to the other 2 sides of the triangle.

Thus, from the definition, we can say 28 and x is proportional to 14 and 8.

We can set up a ratio, cross multiply, and solve for x:

$\frac{28}{x}=\frac{14}{8}\\14x=28*8\\14x=224\\x=\frac{224}{14}\\x=16$

So the value of x is 16 and thus the correct answer is C