document.write( "Question 498384: The vertices of a triangle are located at X(-2,-1),Y(2,5), and Z(4,3). What is the perimeter of this triangle ? \n" ); document.write( "

Algebra.Com's Answer #337318 by cleomenius(959) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can find the distacce between vertices using the distance formula
\n" ); document.write( " $\"sqrt%28%28x2-x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29\"$
\n" ); document.write( "===============================================
\n" ); document.write( "XY = $\"sqrt%28%282-+-2%29%5E2+%2B+%285+-+-+1%29%5E2%29\"$
\n" ); document.write( "XY = $\"sqrt%28%284%29%5E2+%2B+%286%29%5E2%29\"$
\n" ); document.write( "XY = $\"sqrt%2852%29\"$
\n" ); document.write( "XY = 2 $\"sqrt%2813%29\"$
\n" ); document.write( "==============================================
\n" ); document.write( "YZ = $\"sqrt%28%284+-2%29%5E2+%2B+%283+-+5%29%5E2%29\"$
\n" ); document.write( "YZ = $\"sqrt%28%282%29%5E2+%2B+%28-2%29%5E2%29\"$
\n" ); document.write( "YZ = $\"sqrt%288%29\"$
\n" ); document.write( "YZ = 2 $\"sqrt%282%29\"$
\n" ); document.write( "===============================================
\n" ); document.write( "XZ = $\"sqrt%28%284+-+-2%29%5E2+%2B+%283+-+-+1%29%5E2%29\"$
\n" ); document.write( "XZ = $\"sqrt%28%286%29%5E2+%2B+%284%29%5E2%29\"$
\n" ); document.write( "XZ = $\"sqrt%2852%29\"$
\n" ); document.write( "XZ = 2 $\"sqrt%2813%29\"$
\n" ); document.write( "===============================================
\n" ); document.write( "The perimeter would be 4 $\"sqrt%2813%29\"$ + 2 $\"sqrt%282%29\"$
\n" ); document.write( "Cleomenius \n" ); document.write( "

\n" );