SOLUTION: HI, I have the following vertices of a rectangle: (-2,1), (1,4), (3,2), and (0,-1). How do I find the length of the diagonal of the rectangle?

Question 6688: HI,
I have the following vertices of a rectangle: (-2,1), (1,4), (3,2), and (0,-1). How do I find the length of the diagonal of the rectangle?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First, you'll need to find the coordinates of opposite corners of the rectangle. This is best done by sketching the rectangle on graph paper using the coordinates of the given vertices.
According to my sketch, the coordinates of the opposite corners are:
(-2, 1) & (3, 2)
(0, -1) & (1, 4)
Use the distance formula to find the distance between one pair of opposite corners:

Take either pair of coordinates and substitute the appropriate x, y values into the distance formula and solve for the distance, d. Let's take the second pair of points, (0, -1) & (1, 4)

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