Two corners of a triangle have angles of # ( pi )/ 3 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 7 #, what is the longest possible perimeter of the triangle?
1 Answer
Oct 15, 2016
The longest possible perimeter is 25.13
Explanation:
Compute remaining angle, C, is:
Let angle
Let 7 be the length of the side opposite angle A (we represent opposite sides with corresponding lowercase letters),
When you do this, using the Law of Sines,
, to compute the lengths of sides b and c will give the sides that are the largest perimeter.