The Mathematics of Origami
Math · Intermediate · Lesson 3 of 7

Folding an Equilateral Triangle

Sixty degrees from a square

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • A fold is a reflection across the crease line.
  • Folding a corner onto the centre line through the opposite corner makes a 60° angle.
  • This gives an equilateral triangle from a square.

Steps

  1. From square to triangle
  2. Land on the centre line
  3. Height of the triangle
  4. Area of the triangle
  5. The largest triangle
  6. Why it works