The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-

Question

3 years ago

6

The size of a television is given by the length ofthe 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.\

Mathematics

1 answer:

Klio2033 [76] · Answer 1 · 2022-04-25T10:58:49+03:00

Klio2033 [76]3 years ago

7 0

Using the ratios,
suppose:
width=8x
length=15x
let d be the diagonal
thus; using Pythagorean theorem:
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