Question

geometry, measurements, data analysis similar right triangles find the length x.

Explanation:

Step1: Identify similar triangles

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

Step2: Set up proportion

Let the two similar right - angled triangles have side lengths such that $\frac{2}{x}=\frac{3}{7.5}$.

Step3: Cross - multiply

Cross - multiplying gives $3x = 2\times7.5$.

Step4: Solve for x

$3x=15$, so $x = 5$.

Answer:

5