Answer:
x=20 and y=70/3
Step-by-step explanation:
We know triangle DEF is similar to triangle HJG. So:
- DE is similar to HJ
- EF is similar to JG
- FD is similar to GH.
We know:
- DE=9, which is similar to 15
- EF=14, which is similar to y
- FD=12, which is similar to x
The ratio of DE:HJ=EF:JG=FD:GH. We know DE:HJ=9:15=3:5, now we can find x and y:
- DE:HJ=9:15=3:5
- EF:JG=14:y=3:5, so y is 70/3 because 14=42/3 and 42/3:70/3=3:5 as 42=14•3 and 70=14•5
- FD:GH=12:x=3:5, so x is 20
