Puzzle | Matchstick

Last Updated : 12 Sep, 2026

How to make 4 equilateral triangles with 6 identical matchsticks? 

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Check if you were right - full answer with solution below.  

Solution:

Method I: A tetrahedron has:

  • 4 equilateral triangle faces
  • 6 edges
  • 4 vertices
1

Each edge of the tetrahedron can be formed with one matchstick.

So, arrange the 6 matchsticks to form a tetrahedron:

  • Take 3 matchsticks. Arrange them to form an equilateral triangle. This will be the base.
  • Take the remaining 3 matchsticks. Connect each vertex of the base triangle to a single common point above the base. This point is the apex.
  • Position the apex so that each of these three edges has the same length as the matchsticks forming the base.
  • The result is a tetrahedron, with 4 equilateral triangular faces and 6 equal edges.

Method II:

  • Use 3 matchsticks to make a large equilateral triangle (each matchstick forms one side).
  • Now take 3 more matchsticks and connect the midpoints of the triangle’s sides.
  • These 3 inner matchsticks form a smaller inverted triangle inside the larger one.
33


 Method III:

  • 4 equilateral triangles labeled 1, 2, 3, and 4
  • Arranged in a bowtie/hourglass shape
4
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