document.write( "Question 290097: The diagnol of a square measure 12 feet.
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document.write( "What is the measurement of a side of a square? \n" );
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Algebra.Com's Answer #209961 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! The diagonal creates a right triangle with two sides being the sides of the square. Let x be the length of the side:\r \n" ); document.write( "\n" ); document.write( "Then by the Pythagorean Theorem we have:\r \n" ); document.write( "\n" ); document.write( "x^2 + x^2 = 12^2 \n" ); document.write( "2x^2 = 144 \n" ); document.write( "x^2 = 72 \n" ); document.write( "x = sqrt(72) \n" ); document.write( "x = sqrt(36*2) \n" ); document.write( "x = sqrt(36)*sqrt(2) \n" ); document.write( "x = 6*sqrt(2)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |