Given:
Figure of a triangle.
To find:
The values of x.
Solution:
In the figure, we have an angle bisector.
According to the angle bisector theorem, an angle bisector of a triangle always divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Using angle bisector theorem, we get
[tex]\dfrac{x}{7}=\dfrac{15}{14}[/tex]
Multiply both sides by 7.
[tex]x=\dfrac{15}{14}\times 7[/tex]
[tex]x=\dfrac{15}{2}[/tex]
[tex]x=7.5[/tex]
Therefore, the value of x is 7.5 units.