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Triangles into Squares

Can you make a square using twenty identical right-angled triangles?

You could use the triangles from this template to have a go.  The shortest side of each triangle is 4cm and the side at right angles to it measures 8cm, so the sides are in the ratio 1:2.

What other quadrilaterals can you make with the twenty identical right-angled triangles?

What happens if you use triangles which have sides in a different ratio?

 

Comments

Submitted by Joanne on Mon, 10/31/2016 - 15:42

It doesn't work because there will always be two squares missing . I measured mine and the sides were about the same length but there were two squares missing that wouldn't fit whichever way I put them.