Getting an Angle
3 out of 3
How can you make an angle of 60 degrees by folding a sheet of paper twice?
Problem
How can you make an angle of 60° by folding a sheet of paper twice?
Why?
Can you make an equilateral triangle with one more fold?
Getting Started
Remember that folding an equilateral triangle in half gives you a 30-60-90 triangle and the ratios of the lengths of the sides.
Student Solutions
This solution is from David Jeffreys
I think I have worked out the answer to getting an angle.
What you do is fold the paper in half (lengthways). Next you fold another so the crease touches a top corner (If you hold it as a landscape) and the corner below it touches the first crease.
The second layer at the bottom corner is 60 degrees. If you want to make it into an equilateral triangle you fold the over side so the fold has the other fold tucked right in and align it up with the other edge.
David supplied some diagrams like the one below.
The angles are 30 o and 60 o can be seen if you consider an equilateral triangle of side 2a:
