Question

Find x,y,z Write answers in simplest radical form

Answer 1

Hint: all 3 triangles are similar in this diagram

Answer 2

I think I got the y by doing a^2 + b^2 = c^2
18^2 + 27^2 = c^2
324 + 729=c^2
1053 = c^2
c=32.45
so the y would be the 32.45
but can't figure out where to start on the others. x & z

Answer 3

\[\frac{x}{18}=\frac{18}{27}\]

Answer 4

Provided that yes?

Answer 5

Yes but I forgot that the top right angle is a 90 angle on both sides see pic

Answer 6

so x = 12 got it - thanks. So how do I get the z side?

Answer 7

Ah, yes,

\(\color{blue}{\text{Originally Posted by}}\) @Jhannybean
\[\frac{x}{18}=\frac{18}{27}\]
\(\color{blue}{\text{End of Quote}}\)
then only this ratio will work.

Answer 8

Well, same way you found the y

Answer 9

\[z=\sqrt{12^2+18^2}\]

Answer 10

Got it thank you so much