Question

for the pair of similar triangles
2
x = __, y = __

Explanation:

Step1: Find the scale factor

Since the triangles are similar, the ratio of corresponding sides is the same. The ratio of the side of length 10.5 to the side of length 3.5 gives the scale factor. The scale factor $k=\frac{10.5}{3.5}=3$.

Step2: Find the value of x

Side x corresponds to the side of length 12.6. Using the scale - factor relationship, we have $\frac{12.6}{x}=3$. Solving for x gives $x = \frac{12.6}{3}=4.2$.

Step3: Find the value of y

Side y corresponds to the side of length 6.6. Using the scale - factor relationship, we have $\frac{6.6}{y}=3$. Solving for y gives $y=\frac{6.6}{3}=2.2$.

Answer:

$x = 4.2$, $y = 2.2$