Given:
The figure of a triangle.
To find:
The value of x.
Solution:
According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.
Using triangle proportionality theorem, we get
[tex]\dfrac{2x}{80}=\dfrac{27}{60}[/tex]
[tex]\dfrac{x}{40}=\dfrac{9}{20}[/tex]
Multiply both sides by 40.
[tex]x=\dfrac{9}{20}\times 40[/tex]
[tex]x=9\times 2[/tex]
[tex]x=18[/tex]
Therefore, the value of x is 18.
