document.write( "Question 79392: Please help answer this question:\r
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document.write( "The diagonal of a square television screen measures 18 inches. What is the length of the sides? \n" );
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Algebra.Com's Answer #56976 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Use the formula for the Pythagorean Theorem to solve because the television screen forms two right triangles. \n" ); document.write( "a^2+b^2=c^2 \n" ); document.write( "a=one side = x \n" ); document.write( "b=the other side = x [because the TV screen is a square -- all sides are equal] \n" ); document.write( "c=the hypotenuse = the diagonal = 18 \n" ); document.write( ". \n" ); document.write( "Plug-in the values and solve: \n" ); document.write( " a^2+b^2=c^2 \n" ); document.write( "x^2+b^2=18^2 \n" ); document.write( "2x^2=18^2 \n" ); document.write( "2x^2=324 \n" ); document.write( "2x^2/2=324/2 \n" ); document.write( "x^2=162 \n" ); document.write( " \n" ); document.write( "x=12.7279=12.73 \n" ); document.write( ". \n" ); document.write( "Check by plugging all of the values back into the original formula: \n" ); document.write( "a^2+b^2=c^2 \n" ); document.write( "(12.7279)^2+(12.729)^2=18^2 \n" ); document.write( "324.054=324 [close-enough] \n" ); document.write( " \n" ); document.write( " |