How to find the sides of a triangle with only hypotenuse and aspect ratio?

Question

A flat screen television has an aspect ratio of 16:9 which signifies the ratio of the lengths of the sides. If we buy a television with a 47-inch diagonal, how long are each of its sides?

Answer 1

The two sides are 16x and 9x (to be in ratio 16:9).

(16x)² + (9x)² = 47²

 

Can you solve for x?