Triangle Shapes--Online Math Channels

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Triangle Shapes

You might have already had a go at Cut and Make where we take a square, cut it in two along a diagonal, then take one of those right angled isosceles triangles and cut that in half so that you end up with three pieces:

3Tris

I've coloured them just to make it clearer.

This challenge is also about making new shapes out of these pieces, but it is slightly different from Cut and Make. There are some new rules:

You must join the shapes together along their sides.
You must have at least one pair of vertices touching for each join.

So this way is good:

BUT this one would not be allowed:

The blue triangle is not right - none of its vertices pairs up with a vertex of the red piece.

Here are some outlines of the three shapes fitted together. Can you work out how they fit in each one? You might find it helpful to print off this sheet - you can cut out the three triangles from the top of it and have a go at fitting them into the outlines.

Please send us some pictures of your solutions.

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2007-01-11 20:01:55

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Thank you to online math channels' Mathematics Department for hosting these lessons.