Question

Find the length of LM. Show your work.

Answer 1

20

Solution,

<N=180-53-44

=83

Apply sines rule,

`(lm)/(sin \: 83) = (14)/(sin44) \\ lm = (14 \: sin \: 83)/(sin \: 44) \\ lm = 20`

hope this helps..

Good luck on your assignment..

Answer 2

LM =20.00356825

Explanation:

We will use the law of sines

sin M sin N

-------- = ------------

LN LM

We can find the measure of N since the sum of the angles of triangles is 180

L+ M+ N =180

53+ 44 + N =180

N =180 - 53-44

N =83

sin 44 sin 83

-------- = ------------

14 LM

Using cross products

LM sin 44 = 14 sin 83

LM = 14 sin 83 / sin 44

LM =20.00356825