The Pythagorean theorem is used to calculate the length of the hypotenuse of a right triangle using the lengths of the other two sides. The distance formula calculates the distance between two points in a plane by taking the square root of the sum of the squared differences between their x- and y-coordinates. Examples are provided to demonstrate how to apply the Pythagorean theorem to solve for the length of one side of a right triangle and how to use the distance formula to calculate the distance between two points.

1. Pythagorean Theorem and Distance Formula By: Dequas Higgs

2. Pythagorean Theorem Explanation What is the Pythagorean Theorem? Pythagorean Theorem is a formula used to solve side lengths of a right triangle. What do the variables stand for? A =the first leg B =the second leg C =the hypotenuse What type of triangle do we use the theorem for? The right Triangle

3. Pythagorean Theorem Examples 6^2+4^2=x^2 36+16=x 52=x 7.21=x x 4 6

4. Distance Formula Explanation What is the Distance Formula? The end result is the distance formula. What steps do you follow to use the distance formula? Label the points Put them in the distance formula Do the math

5. Distance Formula Example (x2-x1)^2+(y2-y1)^2 (2-10)^2+(13-2)^2 (-8)^2+(11)^2 64+121 185 Sqrt185=13.06 (10,2) (2,13)