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Which of the following could be the perimeter of an isos

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Carcass
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Which of the following could be the perimeter of an isos [#permalink] New post   21 Oct 2020, 10:15
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Which of the following could be the perimeter of an isosceles triangle if one side has length 3 inches and another side has length 7 inches?


Indicate all possible perimeters.

A. 9 inches

B. 11 inches

C. 13 inches

D. 15 inches

E. 17 inches

F. 19 inches



Source: 320 GRE Math Questions
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E
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Pranaygre
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Re: Which of the following could be the perimeter of an isos [#permalink] New post   21 Oct 2020, 20:16
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sir once check the answers only 17 should be the answer
given isosceles triangle one side has length 3 inches and another side has length 7 inches

if the third side is 3 then 3+3<7 here property of triangle is not satisfied

third side must be 7 only so perimeter =7+7+3=17

option E is correct
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Re: Which of the following could be the perimeter of an isos [#permalink] New post   25 Oct 2020, 05:06
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The third side is 7-3=4 or 7+3=10

Since the third side is greater than the shortest side then the third side can either be 7 then we have 7,7,3 triangle or 3,3,7 triangle since it's an isosceles triangle.

Hence CE

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Re: Which of the following could be the perimeter of an isos [#permalink] New post   09 Nov 2020, 23:22
I did not notice that it is said about an isosceles triangle. My mistake
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Re: Which of the following could be the perimeter of an isos [#permalink] New post   30 Jan 2021, 19:42
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3,3,7 is not valid triangle dimensions as someone pointed out above. So shouldn't E be only correct answer?
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Re: Which of the following could be the perimeter of an isos [#permalink] New post   03 Jun 2021, 23:11
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Carcass sir, please update OA. Answer C cannot be the right answer as it does not satisfy the triangle basic property that sum of smaller two side must be greater than larger one.
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Re: Which of the following could be the perimeter of an isos [#permalink] New post   04 Jun 2021, 00:56
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Carcass wrote:
Which of the following could be the perimeter of an isosceles triangle if one side has length 3 inches and another side has length 7 inches?


Indicate all possible perimeters.

A. 9 inches

B. 11 inches

C. 13 inches

D. 15 inches

E. 17 inches

F. 19 inches



Source: 320 GRE Math Questions


Positive difference of other 2 sides < Third sides < Sum of other 2 sides

Case I:
3 - 3 < 7 < 3 + 3
0 < 7 < 6

Not valid - So perimeter cannot be 13

Case II:
7-7 < 3 < 7 + 7
0 < 3 < 14

A valid case - So perimeter can be 17

Hence, option E only
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Re: Which of the following could be the perimeter of an isos [#permalink] New post   04 Jun 2021, 01:05
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KarunMendiratta wrote:
Carcass wrote:
Which of the following could be the perimeter of an isosceles triangle if one side has length 3 inches and another side has length 7 inches?


Indicate all possible perimeters.

A. 9 inches

B. 11 inches

C. 13 inches

D. 15 inches

E. 17 inches

F. 19 inches



Source: 320 GRE Math Questions


Positive difference of other 2 sides < Third sides < Sum of other 2 sides

Case I:
3 - 3 < 7 < 3 + 3
0 < 7 < 6

Not valid - So perimeter cannot be 13

Case II:
7-7 < 3 < 7 + 7
0 < 3 < 14

A valid case - So perimeter can be 17

Hence, option E only


Thank you Sir

The book was clearly wrong
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Re: Which of the following could be the perimeter of an isos [#permalink] New post   04 Jul 2024, 13:08
Hello from the GRE Prep Club BumpBot!

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Re: Which of the following could be the perimeter of an isos [#permalink]
04 Jul 2024, 13:08
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