Someone pls help with this one

Question

asked Feb 13, 2021 161k views

1 Answer

Shameel · Answer 1 · 2021-02-18T18:17:32+0000

The value of x is 6.

Solution:

By Proportionality theorem,

If a parallel line to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

$$\Rightarrow (2)/(3) =(x)/(x+3)$

Do cross multiplication.

$$\Rightarrow 2(x+3)=3x$

$$\Rightarrow 2x+6=3x$

Divide by 2x on both sides of the equation.

⇒ 6 = x

⇒ x = 6

The value of x is 6.