document.write( "Question 859411: Find the area of the triangle whose vertices are (3; 4) ; (-2; 5) ; (0;-6) \n" ); document.write( "

Algebra.Com's Answer #517745 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Calculate the distances between the points.
\n" ); document.write( " $\"D%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"D%5B1%5D%5E2=%28-2-3%29%5E2%2B%285-4%29%5E2=25%2B1=26\"$
\n" ); document.write( " $\"D%5B1%5D=sqrt%2826%29\"$
\n" ); document.write( " $\"D%5B2%5D%5E2=%280-%28-2%29%29%5E2%2B%28-6-5%29%5E2=4%2B121=125\"$
\n" ); document.write( " $\"D%5B2%5D=5%2Asqrt%285%29\"$
\n" ); document.write( " $\"D%5B3%5D%5E2=%283-0%29%5E2%2B%284-%28-6%29%29%5E2=9%2B100=109\"$
\n" ); document.write( " $\"D%5B3%5D=sqrt%28109%29\"$
\n" ); document.write( "Use Heron's formula,
\n" ); document.write( " $\"p=%28D%5B1%5D%2BD%5B2%5D%2BD%5B3%5D%29%2F2\"$
\n" ); document.write( " $\"p=%28sqrt%2826%29%2B5%2Asqrt%285%29%2Bsqrt%28109%29%29%2F2\"$
\n" ); document.write( " $\"A=sqrt%28p%28p-D%5B1%5D%29%28p-D%5B2%5D%29%28p-D%5B3%5D%29%29\"$
\n" ); document.write( " $\"A=53%2F2\"$
\n" ); document.write( " \n" ); document.write( "

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