Exploration: The Distance Between two Points
In the diagram, you will see two points A and B and a line segment connecting them: AB.
A point C has been added so that ABC forms a right triangle.
Also on the diagram, you will see the lengths of AC, BC and AB.
In the box at the top, you will also see the values of , and .
What do you notice about the relationship between , and .
How can you find the lengths of the lines AC and BC without counting the squares?
How can you find the length of AB if you know the lengths of AC and BC?
Write down your observations and any rules of formulas into your Geometry notebook.