document.write( "Question 175790: There are eight points, each with integer coordinates that are 10 units from the origin. List the points. \n" ); document.write( "

Algebra.Com's Answer #130869 by Fombitz(32388) $\"\"$ $\"About$

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First the obvious choices
\n" ); document.write( "(10,0)
\n" ); document.write( "(0,10)
\n" ); document.write( "(-10,0)
\n" ); document.write( "(0,-10)
\n" ); document.write( "The next four are a little more challenging.
\n" ); document.write( " $\"D=sqrt%28x%5E2%2By%5E2%29\"$
\n" ); document.write( " $\"10=sqrt%28x%5E2%2By%5E2%29\"$
\n" ); document.write( "Think about the Pythagorean triples, particularly 3,4,5.
\n" ); document.write( "If we double them, we get 6,8,10, where 10 is the hypotenuse (or distance) that we're interested in.
\n" ); document.write( "(6,8)
\n" ); document.write( "(-6,8)
\n" ); document.write( "(8,6)
\n" ); document.write( "(-8,6)
\n" ); document.write( " \n" ); document.write( "

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