SOLUTION: Find the distance between the points (-3, 2) and (-5, 6).

Question 113322: Find the distance between the points (-3, 2) and (-5, 6).
Found 2 solutions by checkley71, solver91311:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
FIRST WE FIND THE X & Y DISTANCE:
-3+5=2 FOR THE X DISTANCE.
6-2=4 FOR THE Y DISTANCE.
NOW WE HAVE A RIGHT TRIANGLE WITH SIDES OF 2 & 4.
NOW USING THE PYTHAGOREAN FORMULA WE FIND THE HYPOTENUSE (DISTANCE BETWEEN THESE 2 POINTS)
2^2+4^2=H^2
4+16=H^2
20=H^2
H=SQRT20
H=4.47 ANSWER FOR THE DISTANCE BETWEEN THESE 2 POINTS.
PROOF
2^2+4^2=4.47^2
4+16=20
20=20
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

To determine the distance between two points in a plane, use the distance formula. I included the diagram so that you can see why the distance formula works.

The distance formula is . This is just an application of the Pythagorean Theorem because the length of AC in the diagram is and the length of BC is .

For your problem, just plug in the values:

Now all we have to do is the arithmetic:

Hope that helps,
John

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