document.write( "Question 446465: The vertices of the triangle are A(6,1), B(6,7) and C(10,7) show that the triangle is right angled and find it's sides? \n" ); document.write( "

Algebra.Com's Answer #307476 by mananth(16946) $\"\"$ $\"About$

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x1 y1 x2 y2
\n" ); document.write( "d= $\"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"$
\n" ); document.write( "6 1 6 7
\n" ); document.write( "d(AB)= $\"sqrt%28%287-1%29%5E2%2B%286-6%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%286%29%5E2%09%2B%280%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%2836%29%29\"$
\n" ); document.write( "d(AB)= 6.00
\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( "10 7 6 7
\n" ); document.write( "d= $\"sqrt%28%287-7%29%5E2%2B%286-10%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%280%29%5E2%2B%28-4%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%2816%29%29\"$
\n" ); document.write( "d(BC)= 4.00
\n" ); document.write( "----
\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "d(CA)= $\"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"$
\n" ); document.write( "10 7 6 1
\n" ); document.write( "d= $\"sqrt%28%281-7%29%5E2%2B%286-10%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%28-6%29%5E2%2B%28-4%29%5E2%29\"$
\n" ); document.write( "d= $\"sqrt%28%2852%29%29\"$
\n" ); document.write( "d(CA)= 7.215
\n" ); document.write( "
\n" ); document.write( "d(AB)^2+d(BC)^2= d(AC)^2 if it is a right triangle
\n" ); document.write( "6^2+4^2= 7.215^2
\n" ); document.write( "52=52 \n" ); document.write( "

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