document.write( "Question 388290: Pythagorean Theorem\r
\n" ); document.write( "\n" ); document.write( "The diagonals of a square bisect each other at right angles. What is the length of a side of a square if the diagonals are each 12 inches long?
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Algebra.Com's Answer #274618 by nerdybill(7384)\"\" \"About 
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The diagonals of a square bisect each other at right angles. What is the length of a side of a square if the diagonals are each 12 inches long?
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\n" ); document.write( "Applying Pythagorean theorem:
\n" ); document.write( "Let x = length of one side of the square
\n" ); document.write( "then
\n" ); document.write( "\"+x%5E2+%2B+x%5E2+=+12%5E2+\"
\n" ); document.write( "\"+2x%5E2+=+12%5E2+\"
\n" ); document.write( "\"+2x%5E2+=+144+\"
\n" ); document.write( "\"+x%5E2+=+72+\"
\n" ); document.write( "\"+x+=+sqrt%2872%29+\"
\n" ); document.write( "\"+x+=+sqrt%286%2A6%2A2%29+\"
\n" ); document.write( "\"+x+=+6%2Asqrt%282%29+\" inches
\n" ); document.write( "or, decimal approximation:
\n" ); document.write( "\"+x+=+8.49+\" inches\r
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