Question

If A ABC ~ APQR and AB : PQ = 3:4.
If AB = 9 cm, then PQ = ... .​

Answer 1

Answer:

In ΔABC and ΔPQR

AB=PQ

And BC=QR

CB And RQ extended to X and Y

∠ABX=∠PQY

∠ABC=180

o

−∠ABX=180

o

∠PQY

∠PQR=180

o

−∠PQY=∠ABC

We get in both triangles

AB=PQ

BC=QR

And ∠ABC=∠PQR

Then both triangle are congruent

i.e. ΔABC=ΔPQR