Distance between two points on the coordinate plane

The goal here is to find the distance between any two points in the coordinate plane. [br]This applet was designed to help you discover how this task is possible. [br][br]Before clicking the "Show Hint" checkbox in the applet below, take a couple of minutes to see[br]if you can figure out a way to calculate the distance between points A & B in the applet below. [br][br]Points A & B are moveable, by the way. [br][br]If you're totally stuck after a few minutes, click the "Show Hint" checkbox. [br]What appears should trigger your memory and remind you of a previous[br]important concept you've learned once before.
Questions: [br][br]1) After clicking the "Show Hint" checkbox, describe what you see. What DO you see? And how will this help you find the distance between A & B? [br]2) What previous concept (that you've learned before) did you use in order to calculate the distance between points A & B in the applet above? [br]3) The [color=#c51414]RED[/color] segment is the [color=#c51414]absolute value of the RUN[/color] between points A & B. How can you mathematically calculate the [color=#c51414]RUN [/color]between any 2 points? [br]4) The [color=#1551b5]BLUE[/color] segment is the [color=#1551b5]absolute value of the RISE[/color] between points A & B. How can you mathematically calculate the [color=#1551b5]RISE[/color] between any 2 points? [br]5) Write an equation containing the terms "[color=#c51414][b]RUN[/b][/color]", "[color=#1551b5][b]RISE[/b][/color]" and "[color=#b20ea8][b]DISTANCE[/b][/color]" that expresses the relationship among these 3 terms.

Information: Distance between two points on the coordinate plane