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Example Questions
Example Question #1 : How To Find The Diagonal Of A Tetrahedron
Given a regular tetrahedron with an edge of , what is the height (or diagonal)? The height is the line drawn from one vertex perpendicular to the opposite face.
None of the above.
The height of a regular tetrahedron can be derived from the formula
where is the length of one edge.
Therefore, plugging in the side length of ,
.
Example Question #2 : How To Find The Diagonal Of A Tetrahedron
Given a regular tetrahedron with an edge of , what is the height (or diagonal)? The height is the line drawn from one vertex perpendicular to the opposite face.
None of the above.
The height of a regular tetrahedron can be derived from the formula where is the length of one edge.
Plugging in we can solve for .
Example Question #3 : How To Find The Diagonal Of A Tetrahedron
Find the height of this regular tetrahedron:
The height of a regular tetrahedron can be found using the formula where s is the length of the sides.
In this case, the sides have length , so we are multiplying .
We can simplify this by multiplying the numbers inside the radical:
, which simplifies to .
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