Question

Can you help me please ​

Answer 1

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

$\dfrac{2x}{80}=\dfrac{27}{60}$

$\dfrac{x}{40}=\dfrac{9}{20}$

Multiply both sides by 40.

$x=\dfrac{9}{20}\times 40$

$x=9\times 2$

$x=18$

Therefore, the value of x is 18.