Question

Find x. (see attachment)

Answer 1

what did you get?

Answer 2

I don't know how to get it because I don't know what the radius is

Answer 3

then you'll need to solve this equation for x:
(12+x)^2 = 16^2 + x^2 this is the pythagorean theorem...

Answer 4

I did that and I got x = 0?

Answer 5

FG and DG are both radii

Since FG = x and all radii of the same circle are equal, this means that DG = x


So DG^2 + ED^2 = EG^2

Answer 6

DG^2 + ED^2 = EG^2


x^2 + 16^2 = (12+x)^2


x^2 + 256 = 144+24x+x^2


0 = 144+24x+x^2-x^2-256


0 = 24x-112


112 = 24x


112/24 = x


14/3 = x


x = 14/3

Answer 7

x^2 + 256 = 144+24x+x^2
What is this?

Answer 8

Where did that 24 come from?

Answer 9

(12+x)^2


(12+x)(12+x)


12*12 + 12x + 12x + x*x ... I'm using the FOIL rule here to expand


144 + 24x + x^2


So (12+x)^2 = 144 + 24x + x^2

Answer 10

Oh! I forgot about FOIL! Thank you again haha!

Answer 11

lol that's ok, there's a lot to forget math so no worries