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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
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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 Plea class=

Sagot :

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.