Question

The triangles below are similar. Find x showing the proportion and all work.

Answer 1

we are given that

two triangles are similar

so, the  ratio of their sides must be same

we get

$\frac{2}{6} =\frac{x}{x+2}$

now, we can solve for x

step-1: Cross multiply both sides

$2(x+2) =6x$

step-2: Simplify left side

$2x +4 =6x$

step-3: Subtract both sides by 2x

$2x +4-2x =6x-2x$

$4 =4x$

step-4: Divide both sides by 4

$x=1$

so,

$x=1$............Answer