document.write( "Question 161403: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides? \n" ); document.write( "
Algebra.Com's Answer #118905 by checkley77(12844)\"\" \"About 
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The 2 sides and the diagonal form a right triangle. Thus we have the formula: a^2+b^2=c^2
\n" ); document.write( "x^2+(x+2)^2=10^2
\n" ); document.write( "x^2+x^2+4x+4=100
\n" ); document.write( "2x^2+4x+4-100=0
\n" ); document.write( "2x^2+4x-96=0
\n" ); document.write( "2(x^2+2x-48)=0
\n" ); document.write( "2(x+8)(x-6)=0
\n" ); document.write( "x-6=0
\n" ); document.write( "x=6 answer for the shorter side.
\n" ); document.write( "6+2=8 for the longer side.
\n" ); document.write( "Proof:
\n" ); document.write( "6^2+8^2=10^2
\n" ); document.write( "36=64=100
\n" ); document.write( "100=100
\n" ); document.write( " \n" ); document.write( "
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