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)![]() ![]() 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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let w=16 be the width and h be the height.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Using the Pythagorean Theorem we have \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 196 to both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take the square root to both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. ANSWER: The height is 14.28 inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |