Question

Determine the value for x in the picture below.
Please help me

Answer 1

Given:

The figure of a right angle triangle.

A line segment intersect the two sides and parallel to third side of the triangle

To find:

The value of x.

Solution:

According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.

Using basic proportionality theorem, we get

`(8)/(20-8)=(6)/(x)`

`(8)/(12)=(6)/(x)`

`(2)/(3)=(6)/(x)`

On cross multiplication, we get

`2* x=6* 3`

`2x=18`

`x=(18)/(2)`

`x=9`

Therefore, the value of x is 9.