## anonymous one year ago In the figure below, the polygons are similar. Find the value of x and y.

1. anonymous

2. LynFran

just by looking at this i can say y=3 and x=4 ...lol

3. anonymous

are you sure? how did you get that?

4. LynFran

|dw:1441087292025:dw|

5. LynFran

using the Pythagorean c^2=a^2+b^2 let a=6 and b=8 therefore c= sq.rt 36+64 = sq.rt 100 =10

6. LynFran

now looking at |dw:1441087660879:dw|

7. LynFran

we see that the c which =10 being divided by 2 ...to give our new triangle for our new c ... 10/2 =5

8. LynFran

so we can divide our a by 2 to give 3 and also divide our b by 2 to give 4 so x=4 and y=3 if we use Pythagorean a^2+b^2=c^2 sq.rt 9+16=c sq.rt 25=c 5=c

9. LynFran

ok here a much easier way to do this.. in term of ratio $\frac{ y }{ 6 }=\frac{ x }{ 8 }=\frac{ 5 }{ 10 }$so$\frac{ y }{ 6 }=\frac{ 5 }{ 10 }$$\frac{ y }{ 6 }=\frac{ 1 }{ 2 }$$y=\frac{ 1 }{ 2 }*6$$y=3$and $\frac{ x }{ 8 }=\frac{ 5 }{ 10 }$$x=\frac{ 1 }{ 2 }*8$$x=4$ @pleasehelpme5

10. anonymous

omg thank you so much can you help me with another problem