Let a, b, and c be the side lengths of a reference triangle DeltaABC. Now let A_b be a point on the extension of the segment CA beyond A such that AA_b=a. Similarly, define the points A_c, B_c, B_a, C_a, C_b so that the points A_c and B_c lie on the extended segment AB, the points B_a and C_a lie o…