# Finding Distances

How can you use the Pythagorean Theorem to find the distance between any two points on a dot grid?

How can you use it to find the end points of a line with a length of square root of 13?

Refer to the grid for questions A-D.  Click the virtual geoboard button below the grid to create your right triangles.

# Part A

1. Copy the points above onto your virtual geoboard.  Then, draw a right triangle with segment KL as its hypotenuse.

2. Find the lengths of the legs of the triangle.

3. Use the Pythagorean Theorem to find the length of segment KL.

# Part B

Find the distance between points M and N by connecting them with a segment and using the method in Part A.

# Part C

Find the distance between points P and Q.

# Part D

In the beginning of this Unit, you found the driving distance between the stadium at (-2,3) and the high school at (1,8).  What is the helicopter distance between these two locations?  Estimate the difference of the two distances.

# Part E

Find the coordinates of two points that are square root of 13 units apart.  Label the points R and S.  Explain how you know the distance between the points is square root of 13 units?