Help!!will give medal:):)
solve for x and y

Question

anonymous · Answer

|dw:1375226953499:dw|

anonymous · Answer

@mathmate @robtobey @Zale101 @zepdrix

anonymous · Answer

to get y do i do$$\frac{ 10 }{ 8 }=\frac{ 6 }{ y }$$

anonymous · Answer

Yes.

anonymous · Answer

no, they are not congruent, so you can not use a ratio like that.

anonymous · Answer

then what is the formula to solve this?

anonymous · Answer

Pythagorean Theorem and ratios.

mathmate · Answer

You need to show/see that triangles IHE and GFE are similar, then conclude:
IE/EH = GE/EF
or
10/8 = (8+y)/(10+6)
hence solve for y.
x can be found similarly.

anonymous · Answer

y=96 @mathmate

mathmate · Answer

I get 12.
10/8 = (8+y)/16
8+y=10*16/8=20
subtract 8 from both sides
y=20-8=12

anonymous · Answer

$$\frac{ 10 }{ 8}=\frac{ 8+y }{ 16 }$$
when i cross multiply i get
64+y=160
y=96
wat am i doing wrong??

mathmate · Answer

If you cross multiply,
10*16 = 8(8+y)
160=64+8y   (you probably forgot to multiply y by 8)
8y=96
y=12

anonymous · Answer

ooh yup i did now that makes sense.....so then how do i find x?

mathmate · Answer

A similar way.
Triangles IHE and GFE are similar,
so GF/FE = IH/HE
Can you take it from here?

anonymous · Answer

yes i think so thanks for the help :)