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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

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 Plea class=

Respuesta :

ChoiSungHyun

Step-by-step 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.

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