Find the volume of the tetrahedron with the given vertices. (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4)

The volume of the tetrahedron is

Step-by-step explanation:

To find the volume of a tetrahedron with vertices (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4).

We know by definition that the volume of a tetrahedron with vertices is

From here we have:

Finding the determinant of that matrix we have:

=

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.