document.write( "Question 1193779: Given:
\n" ); document.write( "square ABCD with diagonals DB and AC intersecting at E
\n" ); document.write( "DC = 8radical 3
\n" ); document.write( "Find:DB in simplest radical and approximation \n" ); document.write( "

Algebra.Com's Answer #825839 by Boreal(15235) $\"\"$ $\"About$

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The square has right triangle DEC where the side is the hypotenuse. Because it is a square, the diagonals make angles EDC and ECD 45 degrees. Their lengths are sqrt(2)/2 for every 1 of the hypotenuse or their lengths are that of the hypotenuse divided by the sqrt (2).
\n" ); document.write( "8 sqrt (3)/sqrt(2)=8 sqrt(6)/2 after rationalizing the denominator.
\n" ); document.write( "This is 4 sqrt(6) and the diagonal length is twice that or 8 sqrt (6). \n" ); document.write( "

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