document.write( "Question 446467: Find the point D(x,y) that equadistance to the points A(1,7) B(8,6) and C(7,-1) \n" ); document.write( "

Algebra.Com's Answer #307475 by mananth(16949) $\"\"$ $\"About$

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x1 y1 x2 y2
\n" ); document.write( "d(AB)= $\"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"$
\n" ); document.write( "1 7 8 6
\n" ); document.write( "d= $\"sqrt%28%286-7%29%5E2%2B%288-1%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%28-1%29%5E2%2B%287%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%2850%29%29\"$
\n" ); document.write( "d(AB)=7.07 \r
\n" ); document.write( "\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "d(BC)= $\"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"$
\n" ); document.write( "8 6 7 -1
\n" ); document.write( "d= $\"sqrt%28%28-1-6%09%29%5E2%2B%287-8%09%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%28-7%29%5E2%2B%28-1%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%2850%29%29\"$
\n" ); document.write( "d(BC)=7.07
\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "d(AC)= $\"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"$
\n" ); document.write( "1 7 7 -1
\n" ); document.write( "d= $\"sqrt%28%28-1-7%29%5E2%2B%287-1%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%28-8%29%5E2%2B%286%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%28100%29%29\"$
\n" ); document.write( "d= 10.00
\n" ); document.write( "Perimeter = d(AB)+d(BC)+d(CA)=7.07+7.07+10
\n" ); document.write( "==24.14
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