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Find the volume of a tetrahedron

Find the volume of a tetrahedron with height h and base area B.

Hint: B=(ab/2)sin(theta) Also, please see the attached document for the provided diagram of the tetrahedron.

I already know that the answer is V=(Bh/3). I am simply looking for how my teacher came to this answer. Please show as many steps as possible so that I can follow your work precisely. For example, I know that somehow similar triangles are involved and would like to see those drawn out and carefully explained if possible.

See attached file for full problem description.


Solution Summary

The solution provides a detailed and step-by-step explanation for the problem.