Question

If the diagonal of a television screen is 24 inches and the width is 16 inches,

what is the height of the screen? Leave the answer in simplified radical form
Please show you're work

Answer 1

Explanation:

Let x be the height of the screen.

Using Pythagoras' Theorem,

we have x² + 16² = 24².

Therefore x² = 24² - 16² = 320,

x = √320 = 8√5 in.

The height of the screen is 8√5 inches.