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The diagonal of a tv is 28 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact length and width of the tv?
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4 votes
The diagonal of a tv is 28 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact length and width of the tv?

User SARAVAN
by
7.2k points

2 Answers

4 votes

Answer:

14 inches by 14 square root of 3 inches

Explanation:

User Lucie Kulza
by
6.4k points
7 votes
30-60-90

shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2x

hypotenuse = 28 inches = 2x = 2(14)
shortest leg = x = 14
longest leg = x√3 = 14√3

The exact length and width of the tv would be 14 inches and 14√3 inches.
User MandeeD
by
7.0k points
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