Question

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

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

Answer 1

C

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:

`(28)/(x)=(14)/(8)\\14x=28*8\\14x=224\\x=(224)/(14)\\x=16`

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