  We construct the CKM unitarity triangle from CP invariant quantities, using
the coupling constant of weak decays with flavor change from b to u, and the
particle - antiparticle mixing probability in the B_s and B_d systems. Also
included are new measurements of the coupling V_us in Kaon decays. Of the two
solutions, one agrees perfectly with the triangle constructed from CP violating
processes in the K and B meson systems. The common solution yields a triangle
with an area of J/2 = (1.51 +/- 0.09) x 10^{-5} and a CP violating phase gamma
= 63.1^o +/- 4.0^o.
