How to find the diagonal of a tetrahedron
Help Questions
ACT Math › How to find the diagonal of a tetrahedron
Questions 1 - 1
1
Calculate the diagonal of a regular tetrahedron (all of the faces are equilateral triangles) with side length .
Explanation
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.
AI TutorYour personal study buddy
Question of the DayDaily practice to build your skills
FlashcardsStudy and memorize key concepts
WorksheetsBuild custom practice quizzes
AI SolverStep-by-step problem solutions
Learn by ConceptMaster concepts step by step
Diagnostic TestsAssess your knowledge level
Practice TestsTest your skills with exam questions
GamesLearn through free games