A triangle has sides A,B, and C. If the angle between sides A and B is #(pi)/3#, the angle between sides B and C is #pi/6#, and the length of B is 15, what is the area of the triangle?
this is a 30-60-90 angle triangle .
length of hypoteneuse is given that is
We know that
If side B touches both the 30-degree angle and the 60-degree angle, then side B is opposite the 90-degree angle and is the hypotenuse of the triangle.
Since we know that the sides of a 30-60-90 triangle follow the pattern
Now that we know the base and height of the triangle, we can find the area.