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In the figure above, what is the length of RT?

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In the figure above, what is the length of RT?  [#permalink]

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New post 17 Aug 2016, 01:54
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

51% (00:41) correct 49% (00:43) wrong based on 155 sessions

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In the figure above, what is the length of RT?  [#permalink]

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New post 17 Aug 2016, 02:23
Bunuel wrote:
Image
In the figure above, what is the length of RT?

(1) RU = 5
(2) RS = 12

Attachment:
2016-08-17_1252.png


Stat 1: we can't infer any value

Stat 2: we can't get relation using this.

Stat 1 + Stat 2: we have 5 and 12 . Then we can remember the triplets i.e. 5,12 and 13 and it is right angle triangle then hyp is 13...this is only sufficient if the given figure is rectangle..but such information is not given..


IMO option E is correct answer..

OA please...will correct if I missed anything..
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Re: In the figure above, what is the length of RT?  [#permalink]

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New post 17 Aug 2016, 10:48
The statements along are obviously not sufficient. Combining 1 and 2 would lead to a 5, 12, 13 triangle, but we can't infer that it's a right triangle from the image, so E.
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Re: In the figure above, what is the length of RT?  [#permalink]

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New post 17 Aug 2016, 14:39
I believe this question is testing our ability to dismis assumptions that are not explocitly stated. In this case angles or defining the figure as a rectangle would allow us to answer C, but without that info we are stuck with E.

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Re: In the figure above, what is the length of RT?  [#permalink]

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New post 06 Sep 2016, 15:39
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Top Contributor
Bunuel wrote:
Image
In the figure above, what is the length of RT?

(1) RU = 5
(2) RS = 12

Attachment:
2016-08-17_1252.png


For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in the following video: https://www.gmatprepnow.com/module/gmat-geometry/video/884

This technique can save a lot of time.

Target question: What is the length of RT?
So, we want to find the length of the blue line (below)
Image

It's probably apparent to you that statements 1 and 2 ALONE are not sufficient, so let's jump straight to....

Statements 1 and 2 combined
Statement 1 tells us that RU = 5
Statement 2 tells us that RS = 12
So, we have the following....
Image

Does this LOCK IN the length of the blue line?
No.
We can MENTALLY GRAB vertex T and move it here....
Image

or here....
Image
...etc.
Notice, although these diagrams satisfy both statements, the length of the blue line is not locked into a certain value.
As such, the combined statements are NOT SUFFICIENT

Answer =

RELATED VIDEO


Cheers,
Brent
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Re: In the figure above, what is the length of RT?  [#permalink]

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New post 21 Sep 2018, 03:57
Hello from the GMAT Club BumpBot!

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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Re: In the figure above, what is the length of RT? &nbs [#permalink] 21 Sep 2018, 03:57
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