document.write( "Question 490090: triangle has coordinates A(-5, 1) B(-2, 5) and C(1,1). Find the area of the triangle and its perimeter. \r
\n" ); document.write( "\n" ); document.write( "Please answer by tonight I have a quiz tomorrow
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Algebra.Com's Answer #334200 by cleomenius(959)\"\" \"About 
You can put this solution on YOUR website!
We can use the distance formula to find the area between coordinates.
\n" ); document.write( "\"sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29\"
\n" ); document.write( "AB = \"sqrt%28%28-2+-%28-5%29%29%5E2+%2B+%285+-+1%29%5E2%29\"
\n" ); document.write( "AB = \"sqrt%2825%29\" = 5
\n" ); document.write( "BC = \"sqrt%28%281+-+%28-2%29%29%5E2+%2B+%281+-+5%29%5E2%29\"
\n" ); document.write( "BC = \"sqrt%2825%29\" = 5
\n" ); document.write( "AC = \"sqrt%28%281+-+%28-5%29%29%5E2+%2B+%281+-+1%29%5E2%29\"
\n" ); document.write( "AC = \"sqrt%2836+%29\" = 6
\n" ); document.write( "So this will give us the length of the sides
\n" ); document.write( "AC = 5
\n" ); document.write( "BC = 5
\n" ); document.write( "AC = 6
\n" ); document.write( "The perimeter therefore will be 5 + 5 + 6 = 16
\n" ); document.write( "The area we can find using Herons formula.
\n" ); document.write( "Area = \"sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29\"
\n" ); document.write( "Where s is the semiperimeter of the triangle.
\n" ); document.write( " s = 5 + 5 + 6/ 2 = 8\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%288%283%29%283%29%282%29%29\"
\n" ); document.write( "Area = \"sqrt%28144%29\"
\n" ); document.write( "Area = 12
\n" ); document.write( "A good website that explains this formula is:
\n" ); document.write( "http://www.mathsisfun.com/geometry/herons-formula.html
\n" ); document.write( "Cleomenius.
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