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A diagonal of a television screen measure 30 inches. The screen is 18 inches tall,as shown. which expression is equal to the length of the television screen in ,inches

User Warren Zhu
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1 Answer

2 votes

Answer:

24 inches

Explanation:

The television is a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in no particular order hence we can use Pythagoras theorem to find the length.

Recall that the theorem states that

opposite side^2 + adjacent side^2 = hypotenuse side^2

let the length of the television screen be L

L^2 + 18^2 = 30^2

L^2 + 324 = 900

L^2 = 900 - 324

L^2 = 576

L = √576

= 24 inches

User Bragolgirith
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