I observed that a ratio, R, can be computed from the lengths of sides in an angle ACB. Refer to the diagram below.
The calculable known distances b and c in the diagram can be used to develop a ratio, R = c/(b+c) which is applied to delta x and y of points A and B (and added to coordinates of point A) to render the absolute coordinates of point M. Point M is the intersection of a ray along the angle bisector and the segment AB.
My question: Is this ratio R simply a corollary derivable from the Angle Bisector Theorem or is it different? enter image description here
