Question

If triangle ABC is similar to triangle PQR, find the value of x and y.

Answer 1

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

$\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}$

$\frac{6}{x}= \frac{4}{y}= \frac{8}{12}$

$\frac{6}{x}= \frac{8}{12}$

x = $\frac{12\times 6}{8}$

x = 9

Similarly, $\frac{4}{y}= \frac{8}{12}$

y = $\frac{12\times 4}{8}$

y = 6