In a triangle. the side opposite the right angle is the hypotenuse. The other two sides are legs. The Pythagorean Theorem states that the are of square with the hypotenuse of a right triangle as a side is equal to the sum of the areas of the square with the legs as sides.
Here is a fun video to go more in depth with the Pythagorean Theorem!
Another theorem for calculating area is called Pick's Theorem:
I = Interior Points
To learn more about Pick's Theorem, check out this informative video!
These websites have some great examples and ideas to use to teach these two theorems!
http://www.mathsisfun.com/pythagoras.html
http://illuminations.nctm.org/LessonDetail.aspx?ID=L623
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