Copyright © University of Cambridge. All rights reserved.

## 'Making Rectangles, Making Squares' printed from http://nrich.maths.org/

Imagine you have any number of equilateral triangles all of the same size as well as a large number of $30$ $^\circ$ , $30$ $^\circ$ , $120$ $^\circ$ isosceles triangles with the shorter sides the same length as the equilateral triangles.

Using these triangles how many differently **shaped** rectangles can you build?

Can you make a square?

The interactivity below may help you with this problem. Click on the green or yellow triangles to get a copy. Drag the triangle by its interior to the required position and drag any vertex to rotate it.

**If you can see this message Flash may not be working in your browser**
**Please see http://nrich.maths.org/techhelp/#flash to enable it.**
Printable

NRICH Roadshow resource.