Question

What is the length of EF in the right triangle below?

A. 468
B. 180
C. 30
D. √468
E. √180
F. 6

(Picture below.)

Answer 1

18^2-12^2=x^2... i dont have a calculator :P

Answer 2

\[a^{2}+b^{2}=c^{2}\]
\[12^{2}+b^{2}=18^{2}\]
\[144+b^{2}=324\]
\[b^{2}=324-188\]
\[b^{2}=180\]
\[\sqrt{b}=\sqrt{180}\]
\[b=6\sqrt{5}\]

Answer 3

Oops, correction: \[b^{2}=324-144\]

Answer 4

Everything else is correct.

Answer 5

SO, \[6\sqrt{5}=\sqrt{180}\]

Answer 6

Thank you sooooo much! :D