Question

The size of a computer monitor is given by the length of the diagonal of the screen. The ratio of the height to the width of wide-screen monitors is 9:16. Find expressions for the width and height of a wide-screen monitor in terms of the length of its diagonal.
Possible answers:
w=(16/sqrt 337) d , h=(9/sqrt 337) d
w=(9/sqrt 337) d , h=(16/sqrt 337) d
w=(16/sqrt 25) d , h=(9/sqrt 25) d
w=(9/sqrt 25) d , h=(16/sqrt 25) d

Answer 1

if w and h are 16 and 9
by pythagoras the diagonal^2: d^2 = 16^2 + 9^2
d = √337
so w = (16/√337)d
and h = (9/√337)d

Answer 2

Thank you!