Distance+Formula

Distance Formula: Both the distance formula and the Pythagorean theorem are the same thing.
c2=a2+b2 Theory: The distance 'd' between the points A = (x 1, y 1 ) and B = (x 2 , y 2 ) is given by the formula:

EXAMPLE-Substituting into the distance formula we have:

By the //Distance Formula,// || || || ||   ||
 * Example 2:** A triangle has vertices //A//(12,5), //B//(5,3), and //C//(12, 1). Show that the triangle is isosceles.
 * [[image:http://media.wiley.com/Lux/10/18710.nce006.jpg align="absMiddle"]]

Because //AB// = //BC,// triangle //ABC// is isosceles.

Exact and Approximate Answers: = = = =