Question

Solve for x with an explanation please tha k you ok now im just trying to fill the 20 letter requirement (:

Answer 1

Given:

The given figure of a triangle.

To find:

The value of x.

Solution:

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side in two parts that are proportional to other two sides of the triangle.

Using angle bisector theorem, we get

$\dfrac{2x-5}{21}=\dfrac{10}{24-10}$

$\dfrac{2x-5}{21}=\dfrac{10}{14}$

$\dfrac{2x-5}{21}=\dfrac{5}{7}$

Multiply both sides by 21.

$\dfrac{2x-5}{21}\times 21=\dfrac{5}{7}\times 21$

$2x-5=15$

$2x=15+5$

$2x=20$

Divide both sides by 2.

$x=\dfrac{20}{2}$

$x=10$

Therefore, the value of x is 10.