Most people have heard of the Pythagorean Theorem, which states
that $c^2=a^2+b^2$, where $c$ is the hypotenuse of a right triangle, and $a$ and $b$ are the
other two sides (or legs) of the right triangle.

Quick! Could you guess three numbers that satsify $c^2=a^2+b^2$? You might have the famous 3-4-5 right triangle memorized.

Here is a quick computer way of generating numbers that satisfy Pythagorean's Theorem. Or stated another way, numbers that would work just fine as side lengths for a right triangle.

Here's the way it works. Start by thinking of any two numbers. Then do three calculations with them:

Quick! Could you guess three numbers that satsify $c^2=a^2+b^2$? You might have the famous 3-4-5 right triangle memorized.

Here is a quick computer way of generating numbers that satisfy Pythagorean's Theorem. Or stated another way, numbers that would work just fine as side lengths for a right triangle.

Here's the way it works. Start by thinking of any two numbers. Then do three calculations with them:

- Compute their product, then double it.
- Square each, then subtract the two squares.
- Square each, then sum them.

`x=`

, `y=`

and `z=`

lines.
Type your code here:

See your results here:

For the

`x=`

, `y=`

and `z=`

, program in the formulas according to list items 1, 2, and 3
in the text above (i.e. let x be twice the produce of a and b). Run the code and generate your very own Pythagorean Triples! When you get your
results, can you prove they satisfy the Pythagorean Theorem?