document.write( "Question 1009603: the area of a square is 144 square centimaters.find the length of the diagonal. write your answer in simplest radical form. \n" ); document.write( "

Algebra.Com's Answer #625065 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "For a square:
\n" ); document.write( " $\"area=side%5E2\"$
\n" ); document.write( " $\"144cm%5E2=side%5E2\"$
\n" ); document.write( " $\"12cm=side\"$
\n" ); document.write( "The sides of the square are 12 cm.
\n" ); document.write( ".
\n" ); document.write( "The diagonal is the hypotenuse of a isosceles
\n" ); document.write( "right triangle with the square's sides as legs:
\n" ); document.write( ".
\n" ); document.write( "S=length of sides; D=length of diagonals
\n" ); document.write( ".
\n" ); document.write( " $\"S%5E2%2BS%5E2=D%5E2\"$
\n" ); document.write( " $\"2S%5E2=D%5E2\"$
\n" ); document.write( " $\"2%2812cm%29%5E2=D%5E2\"$
\n" ); document.write( " $\"2%28144cm%5E2%29=D%5E2\"$
\n" ); document.write( " $\"288cm%5E2=D%5E2\"$
\n" ); document.write( " $\"sqrt%28288cm%5E2%29=sqrt%28D%5E2%29\"$
\n" ); document.write( " $\"12sqrt%282%29cm=D\"$ \n" ); document.write( "

\n" );