Eisha24 Eisha24
  • 02-03-2017
  • Mathematics
contestada

In triangle LMN, LM=6,MN=9, and LN=7. Find m angle m to the nearest tenth of a degree

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taskmasters
taskmasters taskmasters
  • 16-03-2017
to solve for the measure of angle m, use the cosine law formula.

c^2 = a^2 + b^2 - 2ab cos(C)
in the given situation

( LN )^2 = ( LM )^2 + ( MN)^2 - 2(LM)(MN)cos(m)
substitute the given values

7^2 = 6^2 + 9^2 - 2(6)(9)cos(m)
-68 = 2(6)(9)cos(m)
cos(m) = -0.6296
m = arcos ( -0.6296)
m = 129.0 degrees
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