In a standard television set, the screen height is 0.75 times the screen width. If a television set measures 25 inches along the diagonal, what is the screen width?

Answer 1

H= 3W/4

D^2 = 25^= 625 = H^2 + W^2 = (3W/4)^2 + W^2 = 9W^2/16 + W^2 = 25W^2/16

D= sqr(25W^2)16 = 5W/4 = 25

W/4 =5

W = 20 inches wide

H=3W/4 = 3(20)/4 = 15 inches high

(It's a 3-4-5 right triangle, inflated by a factor of 5, to get 15-20-25, a Pythagorean triple)