SOLUTION: A triangle has sides of length 11 m, 12 m, and 16 m.
What is the measure of the angle opposite the side that is 16 m long? Round to the nearest degree.
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-> SOLUTION: A triangle has sides of length 11 m, 12 m, and 16 m.
What is the measure of the angle opposite the side that is 16 m long? Round to the nearest degree.
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Question 1081758: A triangle has sides of length 11 m, 12 m, and 16 m.
What is the measure of the angle opposite the side that is 16 m long? Round to the nearest degree. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! It helps to draw this
Law of cosines
c^2=a^2+b^2-2abcos C
256=121+144-2*11*12 cos C
-9=-264 cos C
cos C=9/264
take arc cos both sides
C=88 deg
should be close to Pythagorean theorem values
11^2+14^2=265, which is near 256 (16^2).
