Midpoint Triangle

Can you cut up a square in the way shown and make the pieces into a triangle?
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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.

Image
Midpoint Triangle