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Two sides of an isosceles triangle are 2 and 11 in length, r

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sandy
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Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink] New post   23 Sep 2018, 07:00
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Two sides of an isosceles triangle are 2 and 11 in length, respectively.

Quantity A
Quantity B
The length of the third side
11


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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C
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shivankkhanna
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Re: Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink] New post   24 Sep 2018, 05:34
but answer could be D because we have a three values for thrid side that are 10,11,12 if b is the answer pls. explain why??
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Re: Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink] New post   24 Sep 2018, 07:57
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shivankkhanna wrote:
but answer could be D because we have a three values for thrid side that are 10,11,12 if b is the answer pls. explain why??


Two sides are 2 and 11 so by property of isosceles triangle the third side could be 2 or 11.

If the third side is 2 then the triangle is 2,2,11. This in NOT a triangle as sum of two sides have to be greater than 3rd side. Since \(2+2=4<11\).

Hence the third side has to be 11. Hence option C.
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Re: Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink] New post   18 Jan 2019, 06:50
shivankkhanna wrote:
but answer could be D because we have a three values for thrid side that are 10,11,12 if b is the answer pls. explain why??


sandy wrote:
Two sides of an isosceles triangle are 2 and 11 in length, respectively.

Then it will become Scalene Triangle - Triangle has no congruent sides but the question says it is an isosceles triangle.

Hence not D is not the correct answer.
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Re: Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink] New post   13 Dec 2019, 11:13
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Let s be the third side of this triangle,
So, s< (11+2); s<13 & s>(11-2); s>9
between 2 and 11, 11 is the only possible value of the third side of this isosceles triangle.
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Re: Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink] New post   21 Dec 2019, 21:26
Length can be 9<x<13

hence D
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Re: Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink] New post   19 Jun 2023, 06:49
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Great use of triangle inequality here:

QA:
We are given 2 and 11.
Lets call the third side x.
Using the triangle inequality property here:
x+2>11
x>9
and
11+2<x
13>x>9
X must be between these values. Of course, if x=2, the inequality would not hold - so x=2 is not a valid option. X must be 11.

QB is 11, so they are the same.
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Re: Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink] New post   23 Jun 2026, 14:39
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink]
23 Jun 2026, 14:39
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