A triangle has sides A,B, and C. If the angle between sides A and B is #(pi)/6#, the angle between sides B and C is #pi/6#, and the length of B is 7, what is the area of the triangle?

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Answer 1 · 2017-06-21T13:25:25

The area of the triangle is #=3.03u^2#

The triangle is an isoceles triangle.

The angle betwwen side #A# and side #C# is

#=pi-(1/6pi+1/6pi)#

#=2/3pi#

The height of the triangle is

#h=3/2tan(1/6pi)#

The area of the triangle is

#A=1/2*b*h#

#=1/2*7*3/2tan(1/6pi)#

#=21/4tan(1/6pi)#

#=3.03#