In a standard television set, the screen height is 0.75 times the screen width. If a television set measures 26 inches along the diagonal, what is the screen width?

Answer 1

h= .75w = 3w/4

diagonal = 26 inches

d^2 = h^2 + w^2 d is the diagonal, the hypotenuse of a right triangle with sides h and w.

the square of d = the sum of squares of the other two sides

26^2 = (3w^2/4) + w^2 = 25w^2/16

w^2 = 26^2(16/25)

w = 26/(4/5) 104/5= 20.8 inches = width