The Pythagorean theorem relates the lengths of the sides of a right triangle, where the sum of the squares of the two shorter sides equals the square of the longest side. The distance formula calculates the distance between two points by taking the square root of the sum of the differences of the x-coordinates squared and y-coordinates squared. Examples are provided to demonstrate both the Pythagorean theorem and distance formula.

1. Quiniya Stewart Pythagorean Theorem and Distance Formula

2. Pythagorean Theorem and Distance Formula Pythagorean Theorem is the relation between all three sides of the triangle. The variable stands for the lengths in a triangle. The type of triangle use in Theorem is a right triangle.

3. Pythagorean Theoremn Example Pythagorean Example: a2 + b2 = c2 2+ 2 = 2 + = = = 5 13 x 25 169 X2 194 X2 x 13.9 x 5 13

4. Distance Formula Distance Formula is how far two parts are away from each other. Steps to follow in distance formula is: Label the point Put them in the distance formula Do the math

5. Distance Formula Example Points (-1, 4), (3, 4 -1-3 + 4-1 -42 + 32 16 + 9 25 5