Mather459

If I am not mistaken, this is the diagram to corresponding to your question. We can then find a because of the inradius formula (a+b-c)/2 so a=3.

the sides then form a pythagorean triple 8,15,17 and 8+15+17 = 40, the answer.

difference of sines:

sin(pi/6)-sin(pi/4)=

sin(pi/6)cos(pi/4)-sin(pi/4)cos(pi/6)

and try finishing it off

11.83

we can notice that 8, 12, and 15 are pythagorean triples, so the points A,B, and C form a right triangle ABC. Since ABC is inscribed in the circle, we know that its hypoteneuse, 15, is the diameter of the circle.

Therefore, $\boxed{15/2}$ is the radius of the circle.

using 1/2 ab sin c formula we easily see that the answer is 12