The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that for any right triangle, the sum of the squares of the two legs equals the square of the hypotenuse. The distance formula calculates the distance between two points by taking the difference of their x-coordinates squared plus the difference of their y-coordinates squared, which equals the distance. An example of each is provided to demonstrate their use.

1. Pythagorean Theorem and Distance Formula By: Starr Jones

2. Pythagorean theorem is A 2 + B 2 = C 2 The variable stand for the side of the triangle “ a” and “b” stand for the legs of the triangle “ c” stand for the hypotenuse of the triangle The type of triangle I use for the theorem: is a right triangle

3. Pythagorean Theorem Examples 7 C 12 7 2 + 12 2 = C 2 49 + 144 = C 2 193 = C 2 13.89 = C

4. Distance Formula The formula is: (X 2 – X 1 ) 2 + (Y 2 – Y 1 ) 2 = C 1. (12 – 2) 2 + (9 – 5) 2 = 2. (10) 2 + (4) 2 = 3. 100 + 16 = 4. 116 = 5. 10.77

5. Distance Formula Example (7, 6) (9, 3) (9 – 7)^2 + (3 – 6)^2 = 2^2 + -3 ^2 = 4 + 9 = 13 = 3.61