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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.

(1) The length of XY is 3. Not sufficient. (2) The length of XZ is 5. Not sufficient.

(1)+(2) (5-3) < YZ < (5+3) --> 2 < YZ < 8. Not sufficient.

Re: In triangle XYZ, whatis the length of YZ? [#permalink]

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29 Jan 2014, 03:12

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From S1:knowing length of one side is not sufficient to determine length of others in a triangle unless it is of a particular type. From S2:Sam explanation.Insuffficient. Combining the two we could have the third side as 3,4,5,6,7(sum of two sides in a triangle always greater than third) but no single length can be known. Ans.E

Re: In triangle XYZ, whatis the length of YZ? [#permalink]

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29 Jan 2014, 23:31

Statement 1: From length XY = 3, we cannot determine the length of YZ; Not Sufficient. Statement 2: From lenth XZ = 5, we cannot determine the length of YZ; Not Sufficient.

Combining both statements, we still cannot definitely find a value for YZ as the length of YZ could be any integer from 3 to 7. Do not assume that YZ will be 4, as nowhere has it been stated that the triangle is a right angled triangle.

The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.

(1) The length of XY is 3. Not sufficient. (2) The length of XZ is 5. Not sufficient.

(1)+(2) (5-3) < YZ < (5+3) --> 2 < YZ < 8. Not sufficient.

Re: In triangle XYZ, whatis the length of YZ? [#permalink]

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08 Jan 2015, 16:03

I know this is basic but it doesn´t hurt to mention it once again...

Watch out for Pythagorean triple impostors!

We want the Gmat to be just a pattern-based exam and whenever we look at keywords such as "triangle + 3 + 5", our brain wants to assume that the remaining side must equal 4.

Fight that instinct (even if your behind time). Besides, nowhere in the passage is it mentioned that this is a right triangle!
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Re: In triangle XYZ, whatis the length of YZ? [#permalink]

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08 Aug 2016, 09:37

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Thanks to another GMAT 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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