Question

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

Answer 1

x = 9

y = 6

Explanation:

ΔABC ~ ΔPQR

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

`(AB)/(PQ)=(BC)/(QR)= (AC)/(PR)`

`(6)/(x)= (4)/(y)= (8)/(12)`

`(6)/(x)= (8)/(12)`

x =
`(12* 6)/(8)`

x = 9

Similarly,
`(4)/(y)= (8)/(12)`

y =
`(12* 4)/(8)`

y = 6