document.write( "Question 404446: Show that a square whose diagonal has length d has perimeter 2sqrt2d. \n" ); document.write( "

Algebra.Com's Answer #285868 by mananth(16949) $\"\"$ $\"About$

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diagonal = d\r
\n" ); document.write( "\n" ); document.write( "apply pythagoras theorem\r
\n" ); document.write( "\n" ); document.write( "Let the legs be x each\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "d^2= x^+x^2
\n" ); document.write( "d^2=2x^2
\n" ); document.write( "divide by 2
\n" ); document.write( "d^2/2= x^2
\n" ); document.write( " $\"x=+sqrt%28d%5E2%2F2%29\"$
\n" ); document.write( " $\"x=d%2F%28sqrt%282%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Perimeter = 4*length
\n" ); document.write( " $\"Perimeter+=+4%2Ad%2F%28sqrt%282%29%29\"$
\n" ); document.write( " $\"Perimeter+=+2sqrt%282%29%2Ad\"$ \n" ); document.write( "

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