Question

find the length x.

Explanation:

Step1: Identify similar triangles

The two right triangles are similar, so corresponding sides are proportional. The smaller triangle's hypotenuse is 5.5, the larger triangle's hypotenuse is $5.5+5.5=11$, and the larger triangle's vertical side is 6.

Step2: Set up proportion

$\frac{x}{6} = \frac{5.5}{11}$

Step3: Solve for x

$x = 6 \times \frac{5.5}{11}$
$x = 6 \times 0.5$

Answer:

3