An engineer is designing a television screen. the screen is shaped like a rectangle with a length of 43.6 inches. the ratio of t

Question

2 years ago

6

he length of the rectangle to its width must be 16:9. what is the approximate length of the diagonal of the screen?

1 answer:

statuscvo [17] · Answer 1 · 2023-09-19T16:51:50+03:00

By using the given ratio, we will see that the diagonal measures 50 inches.

<h3>How to get the diagonal of the screen?</h3>

First, we know that the ratio between length and width is 16:9, and the length is 43.6 inches, then the width will be:

W = (9/16)*43.6 inches = 24.5 in

Now, the diagonal will be equal to the hypotenuse of a right triangle with catheti of 43.6 in and 24.5 in, by using Pythagorean's theorem we get:

$D = \sqrt{(43.6in)^2 + (24.5in)^2} = 50 in$

We conclude that the diagonal measures 50 inches.

If you want to learn more about ratios:

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