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)\"\" \"About 
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(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
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