Question

A normal tv screen has a width to height ratio of 4:3, while a high definition tv screen has a ratio of 16:9. what is the approximate ratio of their diagonals, if the heights of the two types of screens are the same?

Answer 1

Solution :-

Let the d1 be diagonals of the normal tv and d2 be the diagonals of the high definition tv. 

Given - Ratio of width and height of a normal TV screen = 4 : 3

Ratio of width and height of a high definition TV screen = 16 : 9

Then,

d1 = √W²+H²

d1 = √4²+3²

d1 = √16+9

d1 = √25

d1 = 5

Now, 

d2 = √16²+9²

d2 = √256+ 81

d2 = √337

d2 = 18.35

Approximate ratio of their diagonals = 5 : 18

Answer.

Answer 2

Answer:

but answered is 5:6 can anyone explain how is it possible?