document.write( "Question 884718: Find the length of the diagonal AC of the square ABCD if each side of the square is 4cm. \n" ); document.write( "

Algebra.Com's Answer #534725 by KMST(5328) $\"\"$ $\"About$

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The diagonal splits the square into two right triangles.
\n" ); document.write( "For those right triangles, the diagonal is the hypotenuse,
\n" ); document.write( "and sides of the square are the legs.
\n" ); document.write( "So, $\"diagonal%5E2=%284cm%29%5E2%2B%284cm%29%5E2\"$
\n" ); document.write( " $\"diagonal%5E2=16cm%5E2%2B16cm%5E2\"$
\n" ); document.write( " $\"diagonal%5E2=32cm%5E2\"$
\n" ); document.write( " $\"diagonal=sqrt%2832cm%5E2%29\"$
\n" ); document.write( " $\"diagonal=sqrt%2832%29\"$ $\"cm\"$
\n" ); document.write( " $\"diagonal=sqrt%2816%2A2%29\"$ $\"cm\"$
\n" ); document.write( " $\"diagonal=sqrt%2816%29%2Asqrt%282%29\"$ $\"cm\"$
\n" ); document.write( " $\"diagonal=4sqrt%282%29\"$ $\"cm\"$ \n" ); document.write( "

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