How can we easily find the volume of a tetrahedron with known side lengths?

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i strongly thought that if we know every side of the tetrahedron,we can confirm its volume.
but i just puzzled about how to find out the expression.
please help me!
 
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thank you nicksauce! i was amazing about the answer.
 
there is another question:

how can we find the relationship between its height and side?
i know the formula v=sh/3,but it seems too complicated to apply it.
 

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