Question

The two triangles shown are similar. Find the missing length.

Short answer

The solution is$x=7.5or\frac{15}{2}$.

Step-by-step solution

Step 1. Given information 

Step 2. Calculation 

We have two similar triangles and the corresponding sides of similar triangles are proportional. So -

$\frac{2}{3}=\frac{5}{x}$

$\frac{2}{3}·3x=\frac{5}{x}·3x$

$2x=15$

localid="1646906124316" $x=7.5or\frac{15}{2}$