document.write( "Question 93286: Find the perimeter of a square whose diagonal measures 12in. \n" ); document.write( "

Algebra.Com's Answer #67922 by checkley75(3666) $\"\"$ $\"About$

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The 2 sides of a square & the diagonal form a right triangle with equal sides.
\n" ); document.write( "Thus the equation for the diagonal is:
\n" ); document.write( "d^2=s^2+s^2
\n" ); document.write( "12^2=2s^2
\n" ); document.write( "2s^2=144
\n" ); document.write( "s^2=144/2
\n" ); document.write( "s=sqrt72
\n" ); document.write( "s=8.49 for the sides.
\n" ); document.write( "thus the perimeteris=4*side or:
\n" ); document.write( "4*8.49=33.96 is the perimeter.
\n" ); document.write( " \n" ); document.write( "

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