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If a triangle has sides measuring 3 inches and 12 inches, which of th

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Carcass
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If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink] New post   Updated on: 31 May 2024, 22:33
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If a triangle has sides measuring 5 inches and 12 inches, which of the following could not be the measure of the third side?

(A) 7.5 inches
(B) 10 inches
(C) 12.5 inches
(D) 15 inches
(E) 17.5 inches
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E

Originally posted by Carcass on 21 Dec 2022, 04:47.
Last edited by Carcass on 31 May 2024, 22:33, edited 1 time in total.
Fixed typo
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Re: If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink] New post   23 Dec 2022, 05:00
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Any side x of a triangle must be greater than the difference between the lengths of the two other sides, and less than the sum of the two other sides.
Therefore, 7 < x < 17. Only 17.5 inches is outside this range.
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briannahuff
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Re: If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink] New post   21 Jan 2023, 19:39
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Carcass wrote:
Any side x of a triangle must be greater than the difference between the lengths of the two other sides, and less than the sum of the two other sides.
Therefore, 7 < x < 17. Only 17.5 inches is outside this range.


This should be 12+ 3 & 12-3. So, 9<x<15.... how are you getting 7 and 17?
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Re: If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink] New post   22 Jan 2023, 00:54
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OE

Any side x of a triangle must be greater than the difference between the lengths of the two other sides, and less than the sum of the two other sides. In this case, the third side must be between (12 - 5) = 7 inches, and (12 + 5) = 17 inches. Therefore, 7 < x < 17. Only 17.5 inches is outside this range.
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Re: If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink] New post   09 Apr 2023, 07:34
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Option A 7.5 is also not possible

Sum of two sides >= third side

3 + 7.5 < 12. So 7.5 also not satisfies
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emmar
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Re: If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink] New post   28 Dec 2023, 14:45
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Carcass wrote:
OE

Any side x of a triangle must be greater than the difference between the lengths of the two other sides, and less than the sum of the two other sides. In this case, the third side must be between (12 - 5) = 7 inches, and (12 + 5) = 17 inches. Therefore, 7 < x < 17. Only 17.5 inches is outside this range.


The question says the side is length 3, not length 5.
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Re: If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink] New post   31 May 2024, 14:52
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Then WHy not 7?Why 7 is Included??
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If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink] New post   31 May 2024, 22:37
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I fixed the stem. The minor side must be 5 not a 3. Maybe a typo.

Now it is a cogent the question.

Thank you
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Chanchal
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Re: If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink] New post   03 Jun 2024, 14:08
Carcass wrote:
I fixed the stem. The minor side must be 5 not a 3. Maybe a typo.

Now it is a cogent the question.

Thank you


Thankyou Buddy
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Re: If a triangle has sides measuring 3 inches and 12 inches, which of th [#permalink]
03 Jun 2024, 14:08
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