document.write( "Question 258963: a 19-inch television has a rectangular screen whose diagonal measures 19 inches. If the width of the screen is 15 inches, what is its height to the nearest inch? \r
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document.write( "Please show me how you arrived at the answer. I would like to be able to go over this with my 14 year old son in 8th grade. Thank you. \n" );
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Algebra.Com's Answer #190657 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! This depends on the Pythagorean theorem about right triangles. \n" ); document.write( "a and b are the legs (sides of the TV) and c is the diagonal ( the hypotenuse) \n" ); document.write( "a^2+b^2=c^2 \n" ); document.write( "where a=15 and c=19 \n" ); document.write( "15^2+b^2=19^2 \n" ); document.write( "225+b^2=361 \n" ); document.write( "136=b^2 \n" ); document.write( "11.66=c \n" ); document.write( "We are not interested in negative roots since we can't have a negative side to the TV \n" ); document.write( "11.66 is closest to 12 inches. \n" ); document.write( " |