Geometry Please help !?

Consider a cube ABCDEFGH where J,K and L are the respective centers of the faces (ABEF), (EFGH) and (BCGF). F is equidistan to points J,K and L, D is equidistants of points J,K and L. (please refer to the figure) Prove FD is orthogonal of the plan (JKL). I can't use vectors to prove this... The only... show more Consider a cube ABCDEFGH where J,K and L are the respective centers of the faces (ABEF), (EFGH) and (BCGF). F is equidistan to points J,K and L, D is equidistants of points J,K and L. (please refer to the figure)

Prove FD is orthogonal of the plan (JKL).

I can't use vectors to prove this...

The only thing I could think of is the right bissector since F and D are equidistant but the distant from F to the plane is not equal to the distant from D to the plane....

This is new for me to work with 3 dimensions

Any help will be appreciated !
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