document.write( "Question 459662: Television sets are measured diagonally from corner. HDTVs are designed so that the proportion of width to height is 16 to 9. Use this information to find the actual dimensions (width and height) of a 46 inch HDTV \n" ); document.write( "
Algebra.Com's Answer #315242 by nerdybill(7384)\"\" \"About 
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Television sets are measured diagonally from corner. HDTVs are designed so that the proportion of width to height is 16 to 9. Use this information to find the actual dimensions (width and height) of a 46 inch HDTV
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\n" ); document.write( "Let x = width
\n" ); document.write( "and y = length
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\n" ); document.write( "because of the 16 to 9 ratio we have:
\n" ); document.write( "16/9 = y/x
\n" ); document.write( "cross multiplying
\n" ); document.write( "16x = 9y
\n" ); document.write( "16x/9 = y
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\n" ); document.write( "applying Pythagorean theorem:
\n" ); document.write( "x^2 + (16x/9)^2 = 46^2
\n" ); document.write( "x^2 + 256x^2/81 = 2116
\n" ); document.write( "81x^2 + 256x^2 = 171396
\n" ); document.write( "x^2(81 + 256) = 171396
\n" ); document.write( "x^2(337) = 171396
\n" ); document.write( "x^2 = 171396/337
\n" ); document.write( "x^2 = 508.593
\n" ); document.write( "x = 22.55 inches (width)
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\n" ); document.write( "Length:
\n" ); document.write( "16x/9 = 16(22.55)/9 = 360.8/9 = 40.09 inches
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