Question

find the length x.

Explanation:

Step1: Identify similar triangles

The two right triangles are similar by AA similarity (shared angle + right angle).

Step2: Set up proportion

Corresponding sides are proportional: $\frac{x}{6} = \frac{4}{4+8}$

Step3: Simplify denominator

$\frac{x}{6} = \frac{4}{12}$

Step4: Solve for x

$x = 6 \times \frac{4}{12}$

Answer:

3