We present branching fraction measurements of three-prong decays of th
e tau- lepton based on data from the TPC/Two-Gamma detector at SLAC PE
P. The decays are classified according to the identities of the charge
d tracks to give simultaneous measurements of B[tau- --> nu(tau)K-pi+p
i-]=0.58(-0.13)+0.15% and B[tau- --> nu(tau)K-K+pi-]=0.15+0.15(-0.07)0.09)%, and upper limits of B[tau- --> nu(tau)pi-K+pi-]<0.25% B[tau- -
-> nu(tau)K-pi+K-]<0.09%, and B[tau- --> nu(tau)K-K+K-]<0.21%, where a
dditional neutrals may be present in each case. The branching fraction
s are normalized to the world average three-prong topological branchin
g fraction and there is an estimated 20% systematic error in addition
to the listed statistical errors. We find the mass distributions in th
e K-pi+pi- decay are consistent with K1 dominance, and obtain branchin
g fractions of B[tau- --> nu(tau)K1-(1270)]=0.41(-0.35)+0.41% and B[ta
u- --> nu(tau)K1-(1400)]=0.76(-0.33)+0.40%