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juan parents purchasse a flat screen television The screen measure 45 inches on the diagonal The base of the screen is 36 inches long what is the height of the television screem

1 Answer

6 votes

Answer:

27 inches

Explanation:

consider the diagonal 45 inches as A C [the hypotenuse of the right angled triangle

A B C] and the base 36 inches as A B and the height as B C

By Pythagoras Theorem,

AB2+BC2=AC2

(36)2+BC2=(45)2

BC2=(45)2−(36)2

BC2=(45+36)(45−36)[usingtheformulaa2−b2=(a+b)(a−b)]

BC2=81∗9

BC=81∗9−−−−−√

BC =9∗3=27inches

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so it would equal 27

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