SOLUTION: There are eight points, each with integer coordinates that are 10 units from the origin. List the points.

Algebra ->  Length-and-distance -> SOLUTION: There are eight points, each with integer coordinates that are 10 units from the origin. List the points.      Log On


   

Question 175790: There are eight points, each with integer coordinates that are 10 units from the origin. List the points.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First the obvious choices
(10,0)
(0,10)
(-10,0)
(0,-10)
The next four are a little more challenging.
D=sqrt%28x%5E2%2By%5E2%29
10=sqrt%28x%5E2%2By%5E2%29
Think about the Pythagorean triples, particularly 3,4,5.
If we double them, we get 6,8,10, where 10 is the hypotenuse (or distance) that we're interested in.
(6,8)
(-6,8)
(8,6)
(-8,6)