Hello, Anyone knows what are the formulas for converting a 3D(x,y,z) to barycentric coordinates(b1,b2,b3), if i know the points that make up the triangle. Thank you

You create a plane perpendicular to a given edge, and you calculate the distance from a point to that plane. You also calculate the distance from the opposing vertex to the plane, and divide the distance to the point by the distance to the vertex. The barycentric coordinate for that vertex is (1 - scaledVertexDist).
Do this for each vertex, and you have the 3 barycentric coordinates.