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What is the perimeter of isosceles triangle MNP?

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Bunuel
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What is the perimeter of isosceles triangle MNP? [#permalink] New post   14 Jun 2012, 03:13
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00:00
A
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72% (00:48) correct 28% (00:45) wrong based on 2505 sessions
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What is the perimeter of isosceles triangle MNP?

(1) MN = 16
(2) NP = 20
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E
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Bunuel
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What is the perimeter of isosceles triangle MNP? [#permalink] New post   14 Jun 2012, 03:14
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SOLUTION

What is the perimeter of isosceles triangle MNP?

(1) MN = 16. We only know the length of one side. Not sufficient.
(2) NP = 20. We only know the length of one side. Not sufficient.

(1)+(2) If MN=MP=16 and NP=20 then the perimeter would be 16+16+20=52 but if MN=16 and NP=MP=20 then the perimeter would be 16+20+20=56. Not sufficient.

Answer: E.
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cyberjadugar
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Re: What is the perimeter of isosceles triangle MNP? [#permalink] New post   Updated on: 14 Jun 2012, 04:40
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Hi,

Difficulty level: close to 600. ('cause at first glance, I said, answer is (C). Then, when I actually solved, I got the right answer.)

Perimeter of isosceles triangle MNP?

Using (1),
MN = 16, no idea about NP & MP. Insufficient.

Using (2)
NP = 20, no idea about MN & MP. Insufficient.

Combining both the statements,
MN = 16 & NP = 20
for MNP to be isosceles, the third side MP can be 16 or 20. Insufficient.

Thus, Answer is (E).

Regards,

Originally posted by cyberjadugar on 14 Jun 2012, 04:16.
Last edited by cyberjadugar on 14 Jun 2012, 04:40, edited 1 time in total.
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Re: What is the perimeter of isosceles triangle MNP? [#permalink] New post   27 Mar 2016, 19:45
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Here is a visual that should help.
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Screen Shot 2016-03-27 at 7.44.30 PM.png
Screen Shot 2016-03-27 at 7.44.30 PM.png [ 87.61 KiB | Viewed 38486 times ]

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Re: What is the perimeter of isosceles triangle MNP? [#permalink] New post   18 May 2018, 11:36
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Bunuel wrote:
What is the perimeter of isosceles triangle MNP?

(1) MN = 16
(2) NP = 20


Statement One Alone:

MN = 16

Since we don’t know anything about NP and MP, statement one alone is not sufficient.

Statement Two Alone:

NP = 20

Since we don’t know anything about MN and MP, statement two alone is not sufficient.

Statements One and Two Together:

With two statements together, we know that MN = 16 and NP = 20. Since triangle MNP is isosceles, MP could be 16 or it could be 20. If MP is 16, then the perimeter is 16 x 2 + 20 = 52. However, if MP is 20, then the perimeter is 20 x 2 + 16 = 56. Since we don’t have a unique number for the perimeter, the two statements together are still not sufficient to answer the question.

Answer: E
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Re: What is the perimeter of isosceles triangle MNP? [#permalink] New post   05 Feb 2022, 10:02
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Bunuel wrote:
What is the perimeter of isosceles triangle MNP?

(1) MN = 16
(2) NP = 20


Similar question to practice: Similar question to practice: https://gmatclub.com/forum/what-is-the-p ... 34505.html
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Re: What is the perimeter of isosceles triangle MNP? [#permalink] New post   01 Apr 2023, 07:10
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Re: What is the perimeter of isosceles triangle MNP? [#permalink]
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