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. It is represented by the equation a2 + b2 = c2, where a and b are the lengths of the two sides that meet at a right angle and c is the length of the hypotenuse. An example problem demonstrates using the Pythagorean theorem to solve for the unknown side of a right triangle. The distance formula is also provided as an example for calculating the distance between two points by taking the square root of the sum of the squared differences of their x- and y-coordinates.

1. Pythagorean Theorem and Distance Formula Jonerrick Miller

2. Pythagorean Theorem Explanation Slide Pythagorean Theorem is the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.a2+b2=c2You use right triangles for the Pythagorean theorem

3. Pythagorean Theorem Example Slide x2+62= 92x2+ 36= 81 -36 -36 x= 459x6

4. Distance Formula Example Slide (5,15) (6,13) x, y x2 ,x2 5-6=-12 15-13=22 1 + 4 square root of 5 is 2.2