  In this paper, we propose an approch to derive three dimensional geometries
from the dual CFT$_2$ entanglement entropies. We only employ the holographic
principle and do not use any assumption about the AdS/CFT correspondence and
bulk geometry. Our strategy is to use both UV and IR-like CFT$_2$ entanglement
entropies to fix the bulk geodesics. By a simple trick, then the metric can be
extracted from the geodesics. As examples, we derive the pure AdS$_3$ metric
from the entanglement entropies of pure CFT$_2$, and more importantly the BTZ
black hole from the entanglement entropies of finite temperature CFT$_2$.
Consequently, CFT$_2$ with finite size or topological defects can be worked out
by simple transformations. Following the same steps, in principle, it is
possible to derive all three dimensional (topologically distinct) holographic
classical geometries from the dual CFT$_2$ entanglement entropies.
