Question

find the length x.

Explanation:

Step1: Use similar - triangles property

Since the two right - angled triangles are similar, the ratios of their corresponding sides are equal. That is, $\frac{x}{5}=\frac{7}{6}$.

Step2: Solve for x

Cross - multiply to get $6x = 5\times7$, then $x=\frac{35}{6}$.

Answer:

$\frac{35}{6}$