The measures of two sides of a triangle are given between what two numbers must the third side fall


The measures of two sides of a triangle are given between what two numbers must the third side fall

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Manager

Joined: 17 Nov 2009

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Between what two numbers is the measure of the third side of [#permalink]

The measures of two sides of a triangle are given between what two numbers must the third side fall
  09 Sep 2010, 09:27

The measures of two sides of a triangle are given between what two numbers must the third side fall

The measures of two sides of a triangle are given between what two numbers must the third side fall

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The measures of two sides of a triangle are given between what two numbers must the third side fall
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The measures of two sides of a triangle are given between what two numbers must the third side fall
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The measures of two sides of a triangle are given between what two numbers must the third side fall
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Between what two numbers is the measure of the third side of triangle

1. The sum of two known sides is 10
2. difference of 2 known sides is 6

Please explain how both the statements are not required?

Senior Manager

Joined: 03 Apr 2010

Status:GMAT Time...!!!

Posts: 262

Re: triangles [#permalink]

The measures of two sides of a triangle are given between what two numbers must the third side fall
  09 Sep 2010, 11:08

agnok wrote:

Between what two numbers is the measure of the third side of triangle

1. The sum of two known sides is 10
2. difference of 2 known sides is 6

Please explain how both the statements are not required?

Hi agnok,
I will try to explain with example
choice 1 sufficient
explaination:

we know sum of two sides to be 10 so the possibilities of 2 sides can be (5,5),(4,6),(3,7),(2,8),(1,9)
here (5,5) not possible coz questions ask the number in between..similarily (1,9) also ruled out as the question asks the number in between...
(3,7) ruled out ,if it is 4 so triangle not possible same concept for (2,8)
Only possible value is (4,6)

coming to Choice 2 : Insufficient
we are given the difference of two known side i.e 6
so the two values can be like(8,2),(7,1)(9,2).....and so
the value for the third side can be found out but there will be many answers for that

Hope it helps u

Thanx

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Joined: 24 Jun 2008

Posts: 4085

Re: triangles [#permalink]

The measures of two sides of a triangle are given between what two numbers must the third side fall
  09 Sep 2010, 12:09

agnok wrote:

Between what two numbers is the measure of the third side of triangle

1. The sum of two known sides is 10
2. difference of 2 known sides is 6

Please explain how both the statements are not required?

Where is this question from? It doesn't make any logical sense as a DS question, because it's impossible to know what information would be sufficient, and there is no unique correct answer to the problem. Simplifying the problem for illustration, if, say, you were asked:

The integer x lies between which two numbers?
1. 3 < x < 11
2. 5 < x < 13

Is Statement 1 sufficient? Statement 2? The question makes no sense, since there is no single answer - x lies between a lot of different pairs of numbers.

So the GMAT could never structure a DS question like the one in the original post.
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Re: triangles [#permalink]

The measures of two sides of a triangle are given between what two numbers must the third side fall
  09 Sep 2010, 12:13

IanStewart wrote:

agnok wrote:

Between what two numbers is the measure of the third side of triangle

1. The sum of two known sides is 10
2. difference of 2 known sides is 6

Please explain how both the statements are not required?

Where is this question from? It doesn't make any logical sense as a DS question, because it's impossible to know what information would be sufficient, and there is no unique correct answer to the problem. Simplifying the problem for illustration, if, say, you were asked:

The integer x lies between which two numbers?
1. 3 < x < 11
2. 5 < x < 13

Is Statement 1 sufficient? Statement 2? The question makes no sense, since there is no single answer - x lies between a lot of different pairs of numbers.

So the GMAT could never structure a DS question like the one in the original post.

well Ian I dont know but the only solutions turns out to be A for the above question as its a geometry and ur question is not dealing with triangle property of sum greater or lesser ..its simply asking for x between two numbers....
thanx

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Joined: 24 Jun 2008

Posts: 4085

Re: triangles [#permalink]

The measures of two sides of a triangle are given between what two numbers must the third side fall
  09 Sep 2010, 12:54

sandeep800 wrote:

well Ian I dont know but the only solutions turns out to be A for the above question as its a geometry and ur question is not dealing with triangle property of sum greater or lesser ..its simply asking for x between two numbers....
thanx

I understand perfectly well what the question is asking, and it makes no difference if it's geometry or algebra. If you have, say, a 3-4-5 triangle, and I ask "between what two numbers is the measure of the longest side?", then what is the answer? There isn't one unique correct answer; 5 is between 4 and 6, but it's also between 1 and 1000. It doesn't make sense to ask this as a DS question.

Clearly the question designer was trying to test the triangle inequality in a DS question, but as it's written, the question doesn't make any sense as a Data Sufficiency problem, and you could never see it on the GMAT.
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Contact me for online GMAT math tutoring, or about my higher-level GMAT Quant books and problem sets, at ianstewartgmat at gmail.com

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Manager

Joined: 20 Jul 2010

Posts: 145

Re: triangles [#permalink]

The measures of two sides of a triangle are given between what two numbers must the third side fall
  09 Sep 2010, 15:09

In original posted question, it doesn't say integer also. So sides are infinite 1.1; 2,1 etc

Manager

Joined: 17 Nov 2009

Posts: 208

Re: triangles [#permalink]

The measures of two sides of a triangle are given between what two numbers must the third side fall
  10 Sep 2010, 05:17

All,

This question is from Learning Express's GMAT Book. I did not understand it myself hence asked for your assistance.

Intern

Joined: 07 Sep 2010

Posts: 25

Re: triangles [#permalink]

The measures of two sides of a triangle are given between what two numbers must the third side fall
  10 Sep 2010, 06:56

Hi All,
The question is right. it just asks, between what two numbers must be the measure of the third side.

The measure of a side of triangle has to be less than the sum of the other two sides of the triangle and greater than zero.
So here...it must be between 0 and 10.
Hence A is enough!

KUDOS KUDOS KUDOS Guys!!!

Math Expert

Joined: 02 Sep 2009

Posts: 86907

Re: triangles [#permalink]

The measures of two sides of a triangle are given between what two numbers must the third side fall
  11 Sep 2010, 22:50

This question does not make any sense. I wouldn't recommend to study it.
_________________

Re: triangles [#permalink]

11 Sep 2010, 22:50

What two numbers can the third side of a triangle be in between when two sides are 6 and 10?

The Triangle Inequality Theorem can also help you find the range of the third side. The two given sides are 6 and 10. The third side, , must be between 10 − 6 = 4 and 10 + 6 = 16 . In other words, the range of values for is 4 < s < 16 .

Between what two numbers must the length of the third side fall 8 and 11?

8 + 11 = 19 cm. Thus, the length of the third side falls between 3 cm and 19 cm.

Between which two numbers can the length of third side of a triangle fall if two of its sides measure 4cm and 8cm?

So, the answer is 2 < third side < 14. The third side lies between(2,14).