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QOTD#12 x, y, and z are the lengths of the sides of a triang

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GMAT Club Legend
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QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink] New post 19 Aug 2016, 02:54
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52% (00:31) correct 47% (00:38) wrong based on 19 sessions
x, y, and z are the lengths of the sides of a triangle.

Quantity A
Quantity B
x+ y+ z
2z


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Question: 5
Page: 150
[Reveal] Spoiler: OA

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Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink] New post 19 Aug 2016, 02:55
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Explanation

In this question, you are comparing x + y + z with 2z. By subtracting z from both quantities, you can see that this is the same as comparing x + y with z. Since x, y, and z are the lengths of the sides of a triangle, and in all triangles the length of each side must be less than the sum of the lengths of the other two sides, it follows that z < x + y. Thus the correct answer is Choice A.
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Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink] New post 19 Aug 2016, 05:54
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sandy wrote:
Explanation

In this question, you are comparing x + y + z with 2z. By subtracting z from both quantities, you can see that this is the same as comparing x + y with z. Since x, y, and z are the lengths of the sides of a triangle, and in all triangles the length of each side must be less than the sum of the lengths of the other two sides, it follows that z < x + y. Thus the correct answer is Choice A.


Great explanation!
Here's a video that explains this rule:


Here's a related question to practice with:

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Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink] New post 22 Jun 2017, 07:56
In the given question, it states that "x, y, and z are the lengths of the sides of a triangle." However, it did not state the type of triangle. If the triangle is an equilateral triangle, whereby x=y=z, then, quantity A will be greater than quantity B. Shouldn't the answer be D?
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Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink] New post 22 Jun 2017, 14:37
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JamesKw wrote:
In the given question, it states that "x, y, and z are the lengths of the sides of a triangle." However, it did not state the type of triangle. If the triangle is an equilateral triangle, whereby x=y=z, then, quantity A will be greater than quantity B. Shouldn't the answer be D?


We are already concluding that Quantity A is greater.
You need to provide a case in which Quantity B is greater in order to conclude that the answer is D

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Brent
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Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink] New post 22 Jun 2017, 19:58
Ok. Thanks for your explanation. Appreciate it =)
Re: QOTD#12 x, y, and z are the lengths of the sides of a triang   [#permalink] 22 Jun 2017, 19:58
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