document.write( "Question 218124: A 20 in (on the diagonal) TV has a width of 16 in. What is the height? \n" ); document.write( "
Algebra.Com's Answer #164288 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
A 20 in (on the diagonal) TV has a width of 16 in. What is the height?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. We can use the Pythagorean Theorem to solve this problem where the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse (the diagonal in this case). We also note that the diagonal of a rectangle divides into two right triangles.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let w=16 be the width and h be the height.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Using the Pythagorean Theorem we have \r
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\n" ); document.write( "\n" ); document.write( "\"20%5E2=16%5E2%2Bh%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"400=196%2Bh%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract 196 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"400-196=h%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"204=h%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Take the square root to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28204%29=sqrt%28h%5E2%29=h\"\r
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\n" ); document.write( "\n" ); document.write( "\"h=14.28\" inches\r
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\n" ); document.write( "\n" ); document.write( "Step 4. ANSWER: The height is 14.28 inches.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r
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\n" ); document.write( "\n" ); document.write( "Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV\r
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