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 distance formula provides an algebraic expression to calculate the distance between two points by taking the difference of their x-coordinates squared plus the difference of their y-coordinates squared, and finding the square root of the total. Examples demonstrate using the distance formula to solve for the length of one side of a right triangle given the other two sides.

1. Pythagorean Theorem and distance formula Marshall Kilpatrick

2. Explanation of Pythagorean theorem The Pythagorean theorem is basically squares with the lengths of the sides of a right triangle.The variables in the algebraic statement of the Theorem stand for the lengths of the sides of a right triangle.When using a Pythagorean theorem triangle you use Right triangle ( triangle in which one angle is 90 degrees)

3. How the pythageon theorem looks. 45 x 45

4. The distance formula Algebraic expression that gives the distances between pairs of points in terms of their coordinates. a squared + b squared=c squaredso 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. Examples of distance formula A^2+b^2=c^26^2+x^2=13^236+x=169133=x^2x=11.