I was studying for some exams when a wild question appeared. It looks like this:
Given that the perimeter of a triangle is $180$ inches. If the angles of the triangles are in the ratio $5:6:7$, determine the sides of the triangle.
Well, the only way that the angles found in the triangle to be in the ratio $5:6:7$ is when the three angles in the triangle were $50$, $60$ and $70$ degrees. I don't know what might be the three angles of the triangle if the ratio of those three becomes arbitrary, say 11:12:5.
I imagine holding a wire with length 180 inches. but I don't know how far from the tip of the wire will I bend to make an angle of 50 degrees and the succeeding angles in triangle.
I'm in a mess. How will you find the sides of the triangle?