Using the law of cosines for a triangle with SAS

Learn how to solve for the lengths of the sides and the measures of the angles of a triangle using the law of cosines. The law of cosines is used in determining the lengths of the sides or the measures of the angles of a triangle when no angle measure and the length of the side opposite the angle are both known.

The law of cosines can be used to find the measure of an angle when the length of the three sides of a triangle are known. The law of cosines can be used to find the length of the side of a triangle when the lengths of the other two sides are known and the measure of the opposite angle is known.
#trigonometry#lawofcosines

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The one thing I noticed is that once you're left with just finding angle B and C, it actually matters which one you choose first. Since you're using Law of Sines, you want to assure that the angle you're finding is acute since all angles in the range of inverse sine have to be less than 90 degrees. So in all cases, you look at the two sides opposite of the missing angles and use the one that is smaller. The angle opposite of that smaller side has to be acute.

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