Question

How do you solve for x and y ??

Answer 1

See that ΔABC~ΔFGH?

that means the triangles are congruent, basically take the easy way and realize that C=H, A=F, and B=G.

y=6

now, for x, we use a²+b²=c²

so, 5²+x²=6²

(25)+x²=(36)

now we know that we need x² to equal 11

but, the square root of 11 isn't a whole number, so just put it in its radical form

x = $\sqrt{11}$