Distance from a line to a plane

[Darya]

We have a umm block (?) with sides i |AB| = 8 cm, |AE| = 4 cm a |AD| = 3. The task is to find the distance between the line HG and the plane EDC.
So I drew the plane. The distance from the line to EDC should be perpendicular to the plane's center, right? ED = 5 then KS= 2,5 and KM=3. Then the answer turns out to be 1,66 but it's not correct. Where's the mistake?

 

[lev888]

Why do you think that MS is perpendicular to the plane? It would be if EHDA was a square. But it's not. To understand what's happening better, draw a 4x3 rectangle with a diagonal and figure out the distance from the opposite vertex to the diagonal.

 

[Darya]

Why do you think that MS is perpendicular to the plane? It would be if EHDA was a square. But it's not. To understand what's happening better, draw a 4x3 rectangle with a diagonal and figure out the distance from the opposite vertex to the diagonal.

Got it! Then it's 2,4, thanks a lot!