Pythagorean Triples

This triangle has been constructed so the leg lengths are always whole numbers.
Grab the open circle vertices and drag to change the side lengths.
Enter a few sets of side lengths in the chart below.[br][br]Can you find a set of leg lengths that have a whole number hypotenuse length?
Pythagorean Triple Generator
You can generate a Pythagorean Triple using two numbers [b]m[/b] and [b]n[/b], with m > n.[br]Then a = [math]m^2-n^2[/math], b = [math]2\cdot m\cdot n[/math], and c = [math]m^2+n^2[/math][br][br]Use the generator below to create a triple, then test it with the triangle above.
Lab Activity - Pythagorean Triples

Information: Pythagorean Triples