Question

The size of a television is given by the length of the diagonal of the screen. The ratio of the height to the width of wide flat-screen TV is 8:15. Find expressions for the width and height of a wide-screen TV in terms of the length of its diagonal.

Answer 1

using the ratios,
let the width be 8x
and the length be 15x
led d be the diagonal

d^2 = (8x)^2 + (15x)^2
= 64x^2 + 225x^2 = 289x^2
d = 17x

or x = d/17

width = 8x = 8d/17
length = 15x = 15d/17

Answer 2

Thank you