Exploration: Distance between two points (no grid)
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.
There is now no grid in the background - so we cannot count the squares.
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.