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Re: Two sides of an isosceles triangle are 2 and 11 in length, r [#permalink]
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]
1
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]
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]
1
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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