document.write( "Question 288262: A rectangle has a diagonal that measures 10 centimeters and a length that is 2 centimeters longer than the width.What is the width of the rectangle in centimeters? \n" ); document.write( "
Algebra.Com's Answer #209074 by checkley77(12844)\"\" \"About 
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a^2+b^2=c^2
\n" ); document.write( "a^2+(a+2)^2=10^2
\n" ); document.write( "a^2+a^2+4a+4=100
\n" ); document.write( "2a^2+4a+4-100=0
\n" ); document.write( "2a^2+4a-96=0
\n" ); document.write( "2(a^2+2a-48)=0
\n" ); document.write( "2(a+8)(a-6)=0
\n" ); document.write( "a-6=0
\n" ); document.write( "a=6 cm. ans. for the short side.
\n" ); document.write( "6+2=8 cm. ans. for the long side.
\n" ); document.write( "Proof:
\n" ); document.write( "6^2+8^2=100
\n" ); document.write( "36+64=100
\n" ); document.write( "100=100
\n" ); document.write( "
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