16:9 aspect ratio is the ratio of the width of the TV to its height.
The 50 inch measurement is the diagonal length of the TV.
We can divide the rectangular shape into two right triangles, with hypotenuse = 50.
If the height equals x, then because of the 16:9 aspect ratio, the width = 16/9 * x
The height and the width form the legs of the right triangle.
Using the Pythagorean Theorem
x^2 + [16/9 * x]^2 = 50^2
x^2 + 256/81 * x^2 = 2500
337/81 * x^2 = 2500
x^2 = 2500 * 81/337
x^2 = 600.89
x = 24.5
height is 24.5"
width = 24.5 * 16/9 = 43.6"
