Please help me with interseciton of planes

Does anyone here know how to find the intersection of two planes? I am trying to read a file and the coordinates are derived from the intersection of two triangles that represent a plane.

i.e

(234 432 234) (234 523 275) ( 245 643 236)

(512 768 1024) (123 432 234) (234 456 675)

That is what the format looks like, obviously each line represents a triangle, which represents a plane, and the actual coordinates are derived from where those planes intersect. I have not taken any math that has even touched on this that is why I am asking for someone that may already know how to do this.