Posted by sally on .
A segment that is a units long makes a Cdegree angle with a segment that is b
units long. In terms of a, b, and C, find the third side of the triangle defined by this SAS description. You have done numerical versions of this question. Start by finding the length
of the altitude drawn to side b, as well as the length of the perpendicular projection of side
a onto side b. The resulting formula is known as the Law of Cosines.
3. What is the area of the triangle defined by a, b, and C?

geometry 
bobpursley,
find the third side with the law of cosines.
Then, area= sqrt((sa)(sb)(sc)s)
where s is 1/2 the perimeter. Perimeter then is a+b+thirdside.