The document explains the Pythagorean theorem and distance formula. 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 calculates the distance between two points by taking the difference of their x- and y-coordinates, squaring each difference, and summing the results, taking the square root of the total. An example problem demonstrates calculating the length of the hypotenuse using the Pythagorean theorem and finding the distance between two points using the distance formula.

1. By: Kiara Lee 

2. Pythagorean Theorem explanation slide: A Pythagorean Theorem is: a^2 + b^2 = c^2 and the hypotenuse is always C! The variables stand for the points of the triangle The right angle is what we use the theorem

3. Pythagorean Theorem example slide: A^2 + B^2 = C^2 10^2 + 12^2 = x^2 100 + 144 = x^2 244 = x^2 15.62 = x 12 10 x

4. Distance Formula explanation slide: (X2 – X1)^2 + (Y2 – Y1)^2 The steps you follow to use the distance Label the points (X1 Y1) (X2 Y2) Put them in the Distance Formula Do the math

5. Distance Formula example slide: The two points are: (2,5) (11,17) D=(11 – 2)^2 + (17 – 5)^2 (9)^2 + (12)^2 81 + 144 = 225 D = 15