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

27 inches

Step-by-step 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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