document.write( "Question 928179: Find the perimeter of the triangle whose vertices are p(6,4) Q(-3,1) and R(9,-5) \n" ); document.write( "
Algebra.Com's Answer #563517 by MathLover1(20850)\"\" \"About 
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p(6,4) Q(-3,1) and R(9,-5)\r
\n" ); document.write( "\n" ); document.write( "first draw a triangle:\r
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\n" ); document.write( "\n" ); document.write( "to find perimeter, we need the length of sides, and the length of side is equal to distance between two points\r
\n" ); document.write( "\n" ); document.write( "so, we will find the distance between points p(6,4) and Q(-3,1), then Q(-3,1) and R(9,-5), and finally p(6,4) and R(9,-5)\r
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\n" ); document.write( "\n" ); document.write( "a) the distance between points p(6,4) and Q(-3,1)\r
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Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:
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\n" ); document.write( " \"d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29\"
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\n" ); document.write( " Thus in our case, the required distance is
\n" ); document.write( " \"d=sqrt%28%286--3%29%5E2+%2B+%284-1%29%5E2%29=+9.48683298050514+\"
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\n" ); document.write( " For more on this concept, refer to Distance formula.
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\n" ); document.write( "\n" ); document.write( "so, the length of the side \"pQ=9.5\"\r
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\n" ); document.write( "\n" ); document.write( "b) the distance between points Q(-3,1) and R(9,-5)\r
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Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:
\n" ); document.write( "
\n" ); document.write( " \"d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29\"
\n" ); document.write( "
\n" ); document.write( " Thus in our case, the required distance is
\n" ); document.write( " \"d=sqrt%28%289--3%29%5E2+%2B+%28-5-1%29%5E2%29=+13.4164078649987+\"
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\n" ); document.write( "
\n" ); document.write( " For more on this concept, refer to Distance formula.
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\n" ); document.write( "\n" ); document.write( "the length of the side \"QR=13.4\"\r
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\n" ); document.write( "\n" ); document.write( "c) the distance between points p(6,4) and R(9,-5)\r
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Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:
\n" ); document.write( "
\n" ); document.write( " \"d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29\"
\n" ); document.write( "
\n" ); document.write( " Thus in our case, the required distance is
\n" ); document.write( " \"d=sqrt%28%289-6%29%5E2+%2B+%28-5-4%29%5E2%29=+9.48683298050514+\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " For more on this concept, refer to Distance formula.
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the length of the side \"pR=9.5\"\r
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\n" ); document.write( "\n" ); document.write( "then, perimeter \"P=pQ%2BQR%2BpR\"=>\"P=9.5%2B13.4%2B9.5\"=>\"P=32.4\"\r
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