The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It can be used to determine if a triangle is right, and to solve for missing sides. For example, if one side is 35m, another is 12m, and the hypotenuse is 37m, squaring and adding 35^2 + 12^2 equals 37^2, showing it is a right triangle. It can also solve for missing components, like finding a hypotenuse of 57.63m when the other two sides are 45m and 36m.

1. The Pythagorean Theorem What it is and how it can be used