Two corners of a triangle have angles of (5 pi )/ 12 and ( pi ) / 12 . If one side of the triangle has a length of 5 , what is the longest possible perimeter of the triangle?

1 Answer
Aug 16, 2016

=11.12

Explanation:

Clearly this is a right angled triangle as pi-(5pi)/12-pi/12=pi/2
One side=hypoten use =5 ;So other sides =5sin(pi/12) and 5cos( pi/12)

Therefore Perimeter of the triangle=5+5sin(pi/12)+ 5cos( pi/12)

=5+(5times0.2588)+(5times0.966)

=5+1.3+4.83)

=11.12