Based on Lilian's comment, but modified to fit your situation.

    Needs["NDSolve`FEM`"];
    Ω = 
      MeshRegion[
        {{0, 0}, {2/Sqrt[3], 0}, {1/Sqrt[3], 1}}, {Line[{{1, 2}, {2, 3}, {3, 1}}]}];
    mesh["Coordinates"] // Length
>     59