document.write( "Question 1178917: Square ABCD has vertices A(1,—2) and C(4, 5). What
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Algebra.Com's Answer #808380 by ikleyn(52910)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            The solution by  @MathLover1 is  INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( "            It is incorrect,  because she mistakenly treats  AC  as a side of the square ABCD,\r
\n" ); document.write( "\n" ); document.write( "            while it is   THE  DIAGONAL   of the square.\r
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\n" ); document.write( "\n" ); document.write( "            I came to bring the correct solution.\r
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document.write( "|AC| = \"sqrt%28%284-1%29%5E2+%2B+%285-%28-2%29%29%5E2%29\" = \"sqrt%283%5E2+%2B+7%5E2%29\" = \"sqrt%2858%29\".\r\n" );
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document.write( "The area of a square is HALF THE PRODUCT of its diagonals,\r\n" );
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document.write( "or, equivalently, HALF of the SQUARE of the diagonal\r\n" );
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document.write( "    \"AREA%5BABCD%5D\" = \"%281%2F2%29%2A%28abs%28AC%29%29%5E2\" = \"%281%2F2%29%2A%28sqrt%2858%29%29%5E2%29\" = \"%281%2F2%29%2A58\" = 29 square units.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "For your safety,  ignore the post by  @MathLover1.\r
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