The document explains the Pythagorean theorem and distance formula. The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. An example problem is worked out with sides of length 2, 5, and the calculated hypotenuse of 5.3. The distance formula is also explained as taking the difference of the x-coordinates squared and adding it to the difference of the y-coordinates squared, with the square root of the total used to find the distance between two points, like (1,3) and (4,7) which have a distance of 5.