document.write( "Question 249403: The diagonal of a television set is 52 inches long. Its length is 28 inches more than its height. Find the dimensions of the television set. \n" ); document.write( "
Algebra.Com's Answer #181661 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! (28+x)^2+x^2=52^2 \n" ); document.write( "784+56x+x^2+x^2=2,704 \n" ); document.write( "2x^2+56x+784-2,704 \n" ); document.write( "2x^2+56x-1,920=0 \n" ); document.write( "2(x^2+28x-960)=0 \n" ); document.write( "2(x-20)(x+48)=0 \n" ); document.write( "x-20=0 \n" ); document.write( "x=20 inches for the height \n" ); document.write( "20+28=48 inches for the length. \n" ); document.write( "Proof: \n" ); document.write( "48^2+20^2=52^2 \n" ); document.write( "2,304+400=2,704 \n" ); document.write( "2,704=2,704 \n" ); document.write( " \n" ); document.write( " |