Geometry Help. Question in the comments :)

In triangle KLM, LM=11 and angle K=45. Find KL. Leave your answer in simplest radical form.
A. 11
B. 22
C. 22*sqrt2
D. 11*sqrt2

Question

Geometry Help. Question in the comments :)


In triangle KLM, LM=11 and angle K=45. Find KL. Leave your answer in simplest radical form. 
A. 11
B.  22
C. 22*sqrt2
D.  11*sqrt2

anonymous · Answer

attachment

anonymous · Answer

My guess is C.

solomonzelman · Answer

you mean that
LM=11 and KM=45, right?

anonymous · Answer

No. Measurement of angle K is 45.

anonymous · Answer

yeah

solomonzelman · Answer

$\large\color{black}{   \angle K=45^\circ                  }$

solomonzelman · Answer

$\large\color{black}{ \frac{\LARGE  \sin(K^\circ)}{\LARGE LM} =\frac{\LARGE  \sin(M^\circ)}{\LARGE KL} }$

solomonzelman · Answer

you are given that:
~        $\large\color{black}{ \angle K = 45^\circ }$
~        $\large\color{black}{ \angle M = 90^\circ }$
~        $\large\color{black}{  LM = 11 }$

anonymous · Answer

Right, and so we set up an equation. Sin45= what?

solomonzelman · Answer

but once you are given that angle K is 45 degrees, you can just use:
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