Question

The correspondence ABC ↔ PQR between ∆ABC and ∆PQR is a similarity.

AB : PQ = 4 : 5. If AC = 6, then find PR. If QR = 15, then find BC.​

Answer 1

∆ABC and ∆PQR are similar

so in ∆ABC and ∆PQR

AB/PQ = AC/PR

4/5=6/PR

PR*4=5*6

PR=30/4

PR=7.5

then again in ∆ABC and ∆PQR

AB/PQ=BC/QR

4/5=BC/15

15*4=BC*5

60=BC*5

60/5=BC

12=BC

hope it's usefull