ACT Math : How to find the diagonal of a tetrahedron

Study concepts, example questions & explanations for ACT Math

varsity tutors app store varsity tutors android store varsity tutors amazon store varsity tutors ibooks store

Example Questions

Example Question #1 : How To Find The Diagonal Of A Tetrahedron

Calculate the diagonal of a regular tetrahedron (all of the faces are equilateral triangles) with side length .

Possible Answers:

Correct answer:


The diagonal of a shape is simply the length from a vertex to the center of the face or vertex opposite to it. With a regular tetrahedron, we have a face opposite to the vertex, and this basically amounts to calculating the height of our shape.

We know that the height of a tetrahedron is  where s is the side length, so we can put  into this formula:

which gives us the correct answer.

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: