Answer
$A: 0,0 \\ B: b,c \\ C: a,0$
Work Step by Step
An ideally placed triangle, which we will call triangle ABC, should have point A placed at the origin and side AC be on the x-axis. Calling the length of AC "a" and the coordinate of point B (b,c), we obtain:
$A: 0,0 \\ B: b,c \\ C: a,0$
