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An engineer is designing a television screen. the screen is shaped like a rectangle with a length of 43.6 inches. the ratio of the length of the rectangle to its width must be 16:9. what is the approximate length of the diagonal of the screen?

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facundo3141592

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

How to get the diagonal of the screen?

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:

[tex]D = \sqrt{(43.6in)^2 + (24.5in)^2} = 50 in[/tex]

We conclude that the diagonal measures 50 inches.

If you want to learn more about ratios:

https://brainly.com/question/2328454

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