We evaluate the branching ratios of the radiative decays B --> Kgamma
, and B --> K1gamma in the framework of three-point function QCD sum r
ules. We find: GAMMA(B --> Ky)/GAMMA(b --> sgamma) = 0.17 +/- 0.05 an
d GAMMA(B --> K1gamma)/GAMMA(b --> sgamma) = 0.30 +/- 0.15. We also st
udy, in the infinite quark mass limit, the connection between the form
factor of the radiative B --> Kgamma transition and the weak hadroni
c form factors entering the semileptonic B-meson decays.