Question

How to i solve for x in this situation? thank yous.

Answer 1

Is it all? Is there any more information about it?

Answer 2

The triangle proportionality theorem states that if a line parallel to a side of the triangle intersects the triangle, then the two sides are divided proportionally.

See the attached image. In $\triangle {ABC}$, $\frac{AD}{DB} =\frac{AE}{EC}$ according to the theorem stated above.

Let's create ratios to solve for x in this problem.

$\frac{12}{9}=\frac{2x}{x+4}$

• Cross multiply (12 * x + 4) = (9 * 2x).

12x + 48 = 18x

• Subtract 12x from both sides.

48 = 6x

• Divide both sides by 6.

x = 8