A triangle has sides A, B, and C. The angle between sides A and B is #(3pi)/4# and the angle between sides B and C is #pi/12#. If side B has a length of 7, what is the area of the triangle?
- Sum of angles in a triangle, followed by
- Sin rule
since we know 2 angles of the triangle and the length of one side of the triangle (assuming it is measured in centimetres), the first step we can take is
We can then apply the sin rule to find the length of either A or C (I'll go with C)
area of the triangle = 0.5 (7)(C)