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I've got the next figure: enter image description here

Now I would like to calculate the height, so from D to the plane ABC. First, I've tried with a coordinate system, but it's to difficult to take these distances into account.
Then I remarked that all the faces (the triangulars) are similar. But I don't see if I can use that to calculate the height.

Can someone give me an idea about how to start?

Silke

Silke
  • 233

1 Answers1

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Put A at (0,0,0}, and B at (0,15,0). Calculate C at (x,y,0). Then solve the intersection of the three sphere equations.

Ed Pegg
  • 20,955