Question

find the length x.

Explanation:

Step1: Use similarity of triangles

Since the two right - angled triangles are similar, the ratios of their corresponding sides are equal.

Step2: Set up the proportion

The proportion is $\frac{4}{2}=\frac{6}{x}$.

Step3: Cross - multiply

We get $4x = 2\times6$.

Step4: Solve for x

$4x=12$, so $x = \frac{12}{4}=3$.

Answer:

$3$