Tangrams

A tangram is a puzzle that shows how seven particular pieces that make
up a standard square can be moved and rotated top form other interesting
shapes that have a particular property in common. Do you know what that
property is? Think about it for a while and it will probobly come to you.

The seven pieces that are given are two small triangles,

two larger triangles,

a square,

a parallelogram,

and a medium sized triangle.

The sides of the pieces have very particular lengths. There are four distinct
lengths. See if you can generalize these lengths for any sized tangram puzzle.

The basic shape of the tangram puzzle is the square. The challenge is to
use these seven shapes to make a square. If you would like to try click
**here**.

By rotating the two large triangles you can create a small square with relative
ease.

But this unfortunately will not help you make the larger puzzle. Instead,
these two large triangles need to be put together to form an even larger
triangle.

This leaves the other five pieces to make the other large triangle. If you
would like to stop now and try it yourself with this hint, click **here**.

The next piece that is important to place is the medium sized triangle because
it is the largest remaining piece.

Now the job is left to fill in the alley between the pieces given. (Want
to try now? Click **here**.)

Placing the parallelogram at the top between the two triangles gets you
started.

Next place one of the small triangles upside down next to the parallelogram
followed by the square.

Finally, place the remaining small triangle into the space left and you
are done!

There are endless tangram shapes that you can make from animals to airplanes
to people. Here are some you can try. Each on has a minature of the shape
on the screen to guide you. If that is not enough, there is a help screen
that you can use that gives you an outline of the shape that you can physically
put the pieces into. Then if you are desperately stumped, there is a (probobly
not the only) solution that you can look at to show you just how easy it
really was.

Good luck! You may proceed **now**.