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. The document provides an example of using the theorem to solve for the unknown side of a right triangle where a=6, b=12, and c=13. It also defines the distance formula as the square root of the sum of the squared differences between the x and y coordinates of two points and provides steps for using the formula to calculate the distance between points (-3,2) and (0,-10), which equals 13.

2. What is the Pythagorean Theorem? A 2 + B 2 = C 2 What do the variables stand for? The three lengths of the triangle. What type of triangle do we use theorem for? We use right triangles.

3. a 2 + b 2 = c 2 X 2 + 6 2 = 13 2 X + 36 + 169 - 36 - 36 X = 133 X 2 = 11.53 13 6 X

4. What is the Distance Formula? A = (x1, y1) and B = (x2, y2) What steps do you follow to use the distance formula? You will need to know how to find the distance between two points of the line.

5. d = Ö (-3 2)2 + (2 -10)2 ___________ = Ö (-5)2 + (12)2 ________ = Ö 25 + 144 ____ = Ö 169 = 13