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'Midpoint Triangle' printed from http://nrich.maths.org/

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Take a square of paper.
Put a mark half way along each side (ABCD). (You can do this easily by folding.)

Join two midpoints (DC), as shown, then mark half way along the new line (E).
Now join this new midpoint to the other two. (EA, EB).
Cut along these lines.
Now use the four shapes to make a triangle.

Midpoint