SOLUTION: In triangle LMN, L = 27.0 cm, m = 31.4 cm, and <N = 82°. Determine the measure of n to the nearest tenth of a centimetre.

Algebra ->  Triangles -> SOLUTION: In triangle LMN, L = 27.0 cm, m = 31.4 cm, and <N = 82°. Determine the measure of n to the nearest tenth of a centimetre.      Log On


   



Question 1062623: In triangle LMN, L = 27.0 cm, m = 31.4 cm, and Determine the measure of n to the nearest tenth of a centimetre.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Points L, M, N
MN = 27.0
LN = 31.4
Find LM length.

Your composition field shows this but here, making a small change wording :
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In triangle LMN, L = 27.0 cm, m = 31.4 cm, and angle measure at N = 82°.
Determine the measure of n to the nearest tenth of a centimetre.
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That means the interior angle between segments MN and LN is 82 degrees.


The question is asking for the length of segment LM.

Use Law Of Cosines.
27%5E2%2B31.4%5E2-2%2A27%2A31.4%2Acos%2882%29=LM%5E2
LM=sqrt%2827%5E2%2B31.4%5E2-2%2827%29%2831.4%29%2Acos%2882%29%29

Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
In triangle LMN, L = 27.0 cm, m = 31.4 cm, and Determine the measure of n to the nearest tenth of a centimetre.
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The condition DOES NOT provide enough data to solve the problem.

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Writing by "josg" doesn't make sense. Simply ignore it.