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If the size of a certain TV screen is 34 inches and length & width are integers. What is the perimeter of this TV?

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If the size of a certain TV screen is 34 inches, and the other two dimensions (length and width) are also integers (in inches), what is the perimeter of this TV screen in inches?

Note: size of a TV screen is described by the length of its diagonal in inches.

posted Feb 20, 2017 by anonymous

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2 Answers

+1 vote

For the T.V of aspect ratio 15:8(assumed), The length is 30 inches and height is 16 inches (if only integer dimensions are allowed) for a T.V size of 34 inches.
(I couldn't come up with any other pythagoras triplet with 34.)
Therefore perimeter = 2*(16+30) = 92 inches.

answer Feb 20, 2017 by Tejas Naik
+1 vote

Thanks for the query.

The below can be one solution.

16, 30 and 34 are Pythagorean triples, i.e.; 16^2 + 30^2 = 34^2
Hence, the sides of the TV are 16 inches and 30 inches respectively.

Therefore, the perimeter is 92 inches.

Do not know whether there are any other solutions.

answer Feb 20, 2017 by Indranil Datta

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