Hi everyone! I would like guidance on setting this problem up. I'm not actually in a geometry course so I am not sure where to begin.
Two triangles share a common edge. The vertices are located at the Cartesian coordinates of (1,10), (0.75, 15), (18,12), and (8,2). What is the radius and center location of the largest inscribed circle for each triangle? What is the distance between the two centers?
*If it helps, the common edge is between the coordinates (1,10) and (18,12).
I found a wiki article: Incircle and excircles of a triangle - Wikipedia, the free encyclopedia
But I don't know how to find the length of the sides. These are not right triangles.
If anyone can help with this in any way, I'd really appreciate it. Thanks in advance for your time.