A triangle has two corners with angles of # pi / 12 # and # (7 pi )/ 8 #. If one side of the triangle has a length of #3 #, what is the largest possible area of the triangle?
1 Answer
Apr 6, 2017
A = 223.478
Explanation:
Sum of 3 amgles of a triangle is
So the third angle is
for the largest possible area the side needs to be taken as the smallest side
using sine rule
taking a = 3
we get b = 5.949 and c = 8.796
using the formula for area of a triangle when 3 sides are given:
where S is semiperimeter = 19.745
A = 223.478
