The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The distance formula calculates the distance between two points by taking the square root of the sum of the squared differences between the x-coordinates and y-coordinates of the two points. Examples are provided to demonstrate applying the Pythagorean theorem to find the length of the hypotenuse of a right triangle and using the distance formula to calculate the distance between two points.

1. Pythagorean Theorem and Distance FormulaJorge Salay

2. Pythagorean Theorem ExplanationThe theorem is a square of the hypotenuse of a right triangle and it is equal to the sum of the squares of the other two sides.It is a2+b2=c2.A right triangle.

3. Pythagorean Theorem example32+62+=x29+36=x245=x2 6.7=x6x3

4. Distance Formula explanation slideIt is calculate the distance between two points.You first add the two number’s that are x and y. Then you divide by 2 by the number that you got and final you got your answer.

5. Distance Formula Example Slide(3,-4)2 (5,-4)2(5,3)2 (-4,-4)222 +02=4+04The square root of 4 is 2.