Question

What is the value of x?

Answer 1

Answer : The value of x is 5.

Step-by-step explanation :

According to the angle bisector theorem, an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

That means,

$\frac{AB}{BD}=\frac{AC}{CD}$

$\frac{9}{2x-1}=\frac{15}{3x}$

By the cross multiplication, we get:

$9\times 3x=(2x-1)\times 15$

$27x=30x-15$

$30x-27x=15$

$3x=15$

$x=\frac{15}{3}$

$x=5$

Therefore, the value of x is 5.