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In triangle XYZ, whatis the length of YZ?

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

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New post 29 Jan 2014, 02:19
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

In triangle XYZ, whatis the length of YZ?

(1) The length of XY is 3.
(2) The length of XZ is 5.

Data Sufficiency
Question: 65
Category: Geometry Triangles
Page: 157
Difficulty: 600


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

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New post 29 Jan 2014, 02:20
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SOLUTION

In triangle XYZ, whatis the length of YZ?

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.

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

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New post 29 Jan 2014, 03:02
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In triangle XYZ, whatis the length of YZ?

(1) The length of XY is 3.
(2) The length of XZ is 5.


Thank you![/textarea]


IMO: D

taking only A, not sufficient because only one side is known
taking only B , insufficient since only one side is known

combining both together , sufficiant because it forms a triplet and the third side = 4
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Re: In triangle XYZ, whatis the length of YZ?  [#permalink]

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

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New post 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.

Ans is (E).
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In triangle XYZ, whatis the length of YZ?  [#permalink]

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New post Updated on: 27 Aug 2017, 11:09
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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 you´re behind time). Besides, nowhere in the passage is it mentioned that this is a right triangle!
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Originally posted by minwoswoh on 08 Jan 2015, 16:03.
Last edited by minwoswoh on 27 Aug 2017, 11:09, edited 1 time in total.
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In Δ XYZ , what is the length of YZ ? (1) The length of XY is 3. (2) T  [#permalink]

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New post 15 May 2018, 19:42
In Δ XYZ , what is the length of YZ ?
(1) The length of XY is 3.
(2) The length of XZ is 5.
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Re: In Δ XYZ , what is the length of YZ ? (1) The length of XY is 3. (2) T  [#permalink]

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New post 15 May 2018, 20:20
Rule: length of 3rd side must be greater than the difference of the other 2 sides and less than the sum of the other two sides; hence, the length of the third side is 5-3 < yz < 5+3. Given that there are multiple values in this range, the answer would therefore be E.
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Re: In triangle XYZ, whatis the length of YZ?  [#permalink]

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New post 15 May 2018, 21:05
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Re: In triangle XYZ, whatis the length of YZ?  [#permalink]

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New post 16 May 2018, 06:30
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In triangle XYZ, what is the length of YZ?

(1) The length of XY is 3.
(2) The length of XZ is 5.


IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . .
DIFFERENCE between A and B < length of third side < SUM of A and B


Target question: What is the length of YZ?

We can see that each statement alone provides information about only ONE side of the triangle, so we can jump straight to...

Statements 1 and 2 combined
Statement 1 tells us that one side has length 3
Statement 2 tells us that one side has length 5
According to the above rule, we can say: 5 - 3 < length of side YZ < 5 + 3
In other words: 2 < length of side YZ < 8
This means there are infinitely many answers to the target question
For example, the length of side YZ COULD be 4 or 7 or 5.3 or 3.001 or ...
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Re: In triangle XYZ, whatis the length of YZ? &nbs [#permalink] 16 May 2018, 06:30
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