A "wide-screen" TV has an aspect ratio of 16:9. Find the length of a diagonal on a wide-screen TV screen that has a height of 25.2

Given the wide screen TV has the ration
16/9.

Then the ration for the length to the width =
16/9.

Let L be the length and W be the
width.

==> L / w = 16/ 9.

But
given the width = 25.2.

Then we will
substitute. 

==>  L / 25.2  =
16/9.

Now we will cross
multiply.

==.> L =
25.2*16/9

            = 44.8

==>
L = 44.8.

Now that we determine the width and the length of the TV,
we will calculate the diagonal.

 Then, D = sqrt( L^2 +
w^2)

             = sqrt( 44.8)^2 + (
25.2)^2

             =
51.40

Then the diagonal is 51.40