Coordinate Plane Distance: Some Insight

Move the 2 points wherever you'd like! Press MOVE. Then CONTINUE.
What do you notice? What do you wonder?
Does what you see here look like anything else we may have learned in the past? If so, what?
In this app, position the two points to create a right triangle whose legs measure 3 units and 4 units.
How can we find the diagonal distance [math]d[/math] above? Show how below.
In this app, position the two points to create a right triangle whose legs measure 6 units and 8 units.
How can we find the diagonal distance [math]d[/math] above? Show how below.
Here, place the runner's initial point at (1,-5). Place the other point at (-6,3). Then press the buttons (like before) to create a right triangle.
How can we find the diagonal distance [math]d[/math] above? Show how below.
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– Tim Brzezinski

Information: Coordinate Plane Distance: Some Insight