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.Com
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(39625)   (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 :
---------------------------------------------------------------------
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.
-----------------------------------------------------------------------
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.


Answer by ikleyn(52847)   (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.
~~~~~~~~~~~~~~~~~~~~

The condition DOES NOT provide enough data to solve the problem.

Check your input.

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


RELATED QUESTIONS

In right triangle LMN, ∠N is a right angle and cos M = 46/85. What is m∠L to... (answered by Fombitz)
In the triangle, BC = 12 cm and tan C = 0.583. What is the length of the hypotenuse, to... (answered by ikleyn)
In the triangle Bc equals 12 cm and tan C equals 0.583. What is the length of the... (answered by ikleyn)
triangle LMN measure of L is 8x measure of M is (2x+1) measure of N is (6x-1) What's (answered by mananth)
In triangle LMN (answered by FrankM)
find the area of the triangle (to the nearest tenth) a= 31 cm, b = 52 cm, c = 20... (answered by rothauserc)
if the measure of an exterior angle drawn at vertex M of triangle LMN is x, then measure... (answered by RAY100)
find the distance between each pair of points. Points L(-2,3),M(3,-2), and N(6,1) form a (answered by funmath)
In right triangle LMN, ∠N is a right angle and cos M = 46/85. What is m∠L to... (answered by Fombitz,Edwin McCravy)