Question

Solve for x.

15
20
Х
12
X=
Enter the number that belongs in the green box.
= [?]
Enter

Answer 1

The value of x = 9

Explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

`(x)/(15)=\:(12)/(20)`

Cross Multiply the expression

`\:20* x=12* 15`

Divide both sides by 20

`(20x )/(20)=(180)/(20)`

`x=9`

Therefore, the value of x = 9