document.write( "Question 855960: Applications of Pythagorean Theorem and Triples
\n" ); document.write( "A television has a width: height ratio of 9:3. If the television is advertised as having a 36 inch screen (remember the screen is measured as the diagonal), what is the actual height and width of the television? what is the surface area of the screen?
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Algebra.Com's Answer #515656 by ankor@dixie-net.com(22740)\"\" \"About 
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television has a width: height ratio of 9:3.
\n" ); document.write( " If the television is advertised as having a 36 inch screen (remember the screen is measured as the diagonal), what is the actual height and width of the television?
\n" ); document.write( "The ratio can be reduced to 3:1
\n" ); document.write( "then
\n" ); document.write( "3x = the length
\n" ); document.write( "and
\n" ); document.write( "1x = the width
\n" ); document.write( "Pythag
\n" ); document.write( "x^2 + (3x)^2 = 36^2
\n" ); document.write( "x^2 + 9x^2 = 1296
\n" ); document.write( "10x^2 = 1296
\n" ); document.write( "x^2 = 1296/10
\n" ); document.write( "x^2 = 129.6
\n" ); document.write( "x = \"sqrt%28129.6%29\"
\n" ); document.write( "x = 11.3842\" is the width
\n" ); document.write( "and
\n" ); document.write( "3(11.342) = 34.1526\" is the length
\n" ); document.write( ":
\n" ); document.write( "What is the surface area of the screen?
\n" ); document.write( "34.1526 * 11.3842 = 388.80 sq/in
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