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Korvikt [17]
3 years ago
14

The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that

is 3 feet tall and 6 feet wide ?
Mathematics
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft

which is approximately 6.708 feet

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