The document discusses the Pythagorean theorem and distance formula. 1) 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 document provides an example of using the theorem to calculate the height of a triangle. 2) The distance formula calculates the distance between two points by taking the difference of the x-coordinates squared and the difference of the y-coordinates squared, adding those values, and taking the square root of the sum. An example using points (2,3) and (4,0) is shown. 3) Both the Pythagorean theorem and distance formula use exponents,

1. Pythagorean & Distance Formula By :Erikay Howard

2. What Is The Pythagorean Theorem? a2+b2+c2 A (height) B (width) C (length) (We use right triangles for the theorem.)

3. 8 7 x a2+b2=c2 8^2+x^=7^2 64+x=49 x^=15 X=3.87 1 find the height of the triangle (x) 2 find the width of the triangle(8) 3 find the hypotenuse (7) 4 8^2(64) 5 x^2 = x 6 7^2 = (49) 7 subtract 49 from 64 (15) 8 find the square root of 15 The answer is (3.87)

4. (Distance Formula) To Find A Distance Formula... 1 find the value of x2- and y2 2 find the value of x1- and y1 3 subtract the value of x1 from x2 4 subtract the value of y1 from y2 5 find the exponents 6 add the exponents 7 find the square root

5. (2,3) (4,0) (0-3)^2 +(4,2)^2 - 3 ^2 + 2^2 -9 +4 -5 2.23