Question

Help me on this question pls

Answer 1

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