from R2Graph import *

def inscribedCircle(a, b, c):
    ab = b - a
    ab.normalize()
    ac = c - a
    ac.normalize()
    bisa = ab + ac
    
    ba = a - b
    ba.normalize()
    bc = c - b
    bc.normalize()
    bisb = ba + bc
    
    (_, center) = intersectLines(a, bisa, b, bisb)
    radius = center.distanceToLine(a, ab)
    return (center, radius)