Question

it is given that ABC ~PQR with BC/QR=1/3then find ar[PRQ]/ar[ACB].​

Answer 1

Answer:

ΔABC ~ ΔPQR

If two triangles are similar then the ratio of their areas is equal to the square of the ratios of the corresponding sides of the triangles.

ar(BCA)/ar(PQR) = BC²/QR² = 1/9

ar(PRQ)/ar(BCA) = 9 : 1