A triangle has two corners with angles of # ( pi ) / 2 # and # ( pi )/ 6 #. If one side of the triangle has a length of #2 #, what is the largest possible area of the triangle?
There is a kind of triangle that in degree format is called a 30-60-90 triangle (and so would have angles of
If we take the length of 2 and assign that to the shortest side, then we'll have sides of 2,
The area of a triangle is found by:
and so our triangle is: