Question

3 x = __, y = __

Explanation:

Step1: Assume the triangles are similar

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

Step2: Find the ratio of the hypotenuses

The ratio of the hypotenuses of the two triangles is $\frac{35.2}{9.23}$.

Step3: Calculate $x$

Since $\frac{x}{8.8}=\frac{35.2}{9.23}$, then $x = 8.8\times\frac{35.2}{9.23}=\frac{8.8\times35.2}{9.23}\approx33.4$.

Step4: Calculate $y$

Since $\frac{y}{2.8}=\frac{35.2}{9.23}$, then $y = 2.8\times\frac{35.2}{9.23}=\frac{2.8\times35.2}{9.23}\approx10.6$.

Answer:

$x\approx33.4$, $y\approx10.6$