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3 years ago

Find the length of LM. Show your work.

Mathematics

2 answers:

CaHeK987 [17]3 years ago

7 0

Answer:

LM =20.00356825

Step-by-step 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

kicyunya [14]3 years ago

4 0

Answer:

Solution,

<N=180-53-44

 =83

<h3>Apply sines rule,</h3>

 $\frac{lm}{sin \: 83} = \frac{14}{sin44} \\ lm = \frac{14 \: sin \: 83}{sin \: 44} \\ lm = 20$ 

hope this helps..

Good luck on your assignment..

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