The document explains the Pythagorean theorem and the distance formula. The Pythagorean theorem states that in a right triangle, the sum of the squares of the two sides adjacent to the right angle equals the square of the hypotenuse. An example is provided. The distance formula is also explained as taking the square root of the sum of the squares of the differences between corresponding x and y coordinates of two points to calculate the distance between them. An example of applying the distance formula is given.

1. Pythagorean theorem and distance formulaBy Daviontae gilmore

2. Pythagorean theorem explanationthe Pythagorean Theorem is a theorem having to do with right triangles. The two sides of the right triangle that are connected to the right angle are called its legs, and the third side which is always the longest is called the hypotenuse. The theorem says that : In a right triangle, the length of one leg squared plus the length of the other leg squared equals the length of the hypotenuse squaredSince the Pythagorean Theorem deals with the relationship among the lengths of the sides of a right triangle, it is altogether fitting and proper, and a fortuitous coincidence, that the variables in the algebraic statement of the Theorem stand for the lengths of the sides of a right triangle.Right triangle ( triangle in which one angle is 90 degrees)

3. Pythagorean theorem example

4. Distance Formula explanationDistance Formula: Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula:square root of x2-x1 squared +y2-y1 squared So really u need to give the two points and the distance between to the formulaso basically,1. find the change in x2. find the change in y3. square the change in x and the change in y(x^2) (y^2)4. add up your change in x^2 +change in y^25. find the square root of your answer

5. Example for Distance Formula A^2+ B^2= C^26^2+ x^2= 13^236+x+ 169133=x^2X=11