Question

Find the value of X in this problem. Please show work.

Answer 1

Given:

Given that the measurements of the triangle.

We need to determine the value of x.

Value of x:

The value of x can be determined using by angle bisector theorem.

The angle bisector theorem states that "if the angle that bisects the triangle will divide the opposite sides into two segments that are proportional to the remaining two sides of the triangle".

Hence, applying the theorem, we have;

$\frac{x}{20-x}=\frac{14}{11}$

Cross multiplying, we get;

$11x=14(20-x)$

Simplifying, we get;

$11x=280-14x$

$25x=280$

   $x=11.2$

Thus, the value of x is 11.2