Dr. Eaton ends this section on Radical Expressions with the Distance Formula. After studying the similarity to the Pythagorean Theorem, you will learn how to use the formula in finding missing coordinates. Four extra comprehensive examples make sure you can apply your new found knowledge.
formula asserts that the distance between the points (x1,
y1) and (x2, y2) in the coordinate
plane is √(x2 x1)2 + (y2
y1)2. This formula is a special case of
the Pythagorean theorem.
Make sure that you
know and understand how to use this formula. It will be used in a
lot of later work.
In the Distance
formula, the order of the x coordinates does not matter. So take
whichever difference is easier to compute. The same comment applies
to the y coordinates.
After squaring the
differences in the distance formula, be sure to take the positive
square root of their sum.
In some problems,
you are given the distance between two points and three of their
coordinates. In this situation, use the Distance formula to find
the fourth coordinate.
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.