You were that close to the solution . . .
We have this triangle:A triangle is inscribed in a circle with center
The line is perpendicular to the plane of the circle and of length cm.
calculate the angle subtended by each of the sides of the triangle at center
I calculated AC=4.00 cm and BC=5.70 cm. . . . . Good!Find the angles of this triangle.Code:C o * * 4 * * 5.7 * * * * * * A o * * * * * o B 6.67
Since are inscribed angles, we know their corresponding arcs.
Since are central angles, we're done!