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)![]() ![]() ![]() You can put this solution on YOUR website! 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( " |