document.write( "Question 449238: Find the length of the side of a square if the length of the diagonal 10. \n" ); document.write( "

Algebra.Com's Answer #309067 by nerdybill(7384) $\"\"$ $\"About$

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Find the length of the side of a square if the length of the diagonal 10.
\n" ); document.write( "Apply Pythagorean theorem:
\n" ); document.write( "Let x = length of the side of square
\n" ); document.write( "then
\n" ); document.write( " $\"x%5E2+%2B+x%5E2+=+10%5E2\"$
\n" ); document.write( " $\"x%5E2+%2B+x%5E2+=+100\"$
\n" ); document.write( " $\"2x%5E2+=+100\"$
\n" ); document.write( " $\"x%5E2+=+50\"$
\n" ); document.write( " $\"x+=+sqrt%2850%29\"$
\n" ); document.write( " $\"x+=+sqrt%285%2A5%2A2%29\"$
\n" ); document.write( " $\"x+=+5%2Asqrt%282%29\"$ (exact answer)
\n" ); document.write( ".
\n" ); document.write( " $\"x+=+7.0711\"$ (approx decimal answer)\r
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