Question #254883

In a 51-inch television,the length of the screen’s height is 25 inches ,what is the width?round your answer to the nearest tenth of an inch


Expert's answer

Here, TV screen sizes are specified according to their diagonal measurements, so if it's 25 inches tall,


Let w= width and h= height


Then

w2+252=512w2=512252w2=2601625w2=1976w=1976w=44.45 inchesw^2+25^2=51^2\\w^2=51^2-25^2\\w^2=2601-625\\w^2=1976\\w=\sqrt{1976}\\w=44.45\space inches


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