(ASAP LOTS OF POINTS) Find the width and height of a 60-inch-wide screen television that has an aspect ratio of 16:9. Round answers to the nearest inch.

52 inches by 29 inches

Step-by-step explanation:

Let one side by 16x   and the other side be 9x

We know the diameter is 60 inches

Using the Pythagorean theorem

a^2 + b^2 = c^2

(16x) ^2 + ( 9x) ^2 = 60 ^2

256 x^2 + 81x^2 = 3600

Combine like terms

337 x^2 = 3600

Divide each side by 337

337x^2 /337 = 3600/337

x^2 =10.68249258

Take the square root of each side

sqrt(x^2) =sqrt(10.68249258)

x =3.268408264

The sides are 16x by 9x

16*(3.268408264) =52.29453223  or 52

9 *(3.268408264)= 29.41567438 or 29