GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Apr 2019, 11:35

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# In ∆ RPS above, if RP < PS, which of the following is true?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54376
In ∆ RPS above, if RP < PS, which of the following is true?  [#permalink]

### Show Tags

17 Aug 2017, 23:31
00:00

Difficulty:

15% (low)

Question Stats:

83% (00:48) correct 17% (01:04) wrong based on 39 sessions

### HideShow timer Statistics

In ∆ RPS above, if RP < PS, which of the following is true?

(A) s > p
(B) r > p
(C) r < s
(D) r = s
(E) r > s

Attachment:

2017-08-18_1025.png [ 11.45 KiB | Viewed 618 times ]

_________________
Current Student
Joined: 18 Aug 2016
Posts: 619
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: In ∆ RPS above, if RP < PS, which of the following is true?  [#permalink]

### Show Tags

18 Aug 2017, 01:28
Bunuel wrote:

In ∆ RPS above, if RP < PS, which of the following is true?

(A) s > p
(B) r > p
(C) r < s
(D) r = s
(E) r > s

Attachment:
2017-08-18_1025.png

in ∆ RPS
side RP: Side PS
if RP< PS then s<r
E
then respective angles infront will follow the same
_________________
We must try to achieve the best within us

Thanks
Luckisnoexcuse
Manager
Joined: 14 Sep 2016
Posts: 131
Re: In ∆ RPS above, if RP < PS, which of the following is true?  [#permalink]

### Show Tags

18 Aug 2017, 02:09
Not aware of any property of triangle but i guess answer = E

Since , RP < PS then PS will tend to be more inclined and RP a bit steep
hence, that leads to r > s
Senior SC Moderator
Joined: 22 May 2016
Posts: 2642
Re: In ∆ RPS above, if RP < PS, which of the following is true?  [#permalink]

### Show Tags

18 Aug 2017, 11:12
Bunuel wrote:

In ∆ RPS above, if RP < PS, which of the following is true?

(A) s > p
(B) r > p
(C) r < s
(D) r = s
(E) r > s

Attachment:
2017-08-18_1025.png

kunalsinghNS , there is a rule about the relationship between side length and opposite angle size:

The longest side of a triangle is always opposite from the largest angle; the smallest side of a triangle is always opposite from the smallest angle (and vice versa - largest angle is opposite longest side, smallest angle is opposite smallest side).

So if one side of a triangle is longer than a second side, then the angle opposite the first side is larger than the angle opposite the second side.

The angle opposite from PS is $$r$$. The angle opposite from RP is $$s$$

PS is longer than RP. The angle opposite from PS will be larger than the angle opposite from RP, that is

$$r > s$$

Good guess
_________________
Listen, are you breathing just a little, and calling it a life?
-- Mary Oliver

For practice SC questions with official explanations that were posted and moderated by the SC Team,
go to SC Butler here: https://gmatclub.com/forum/project-sc-butler-get-2-sc-questions-everyday-281043.html
Current Student
Joined: 09 Oct 2016
Posts: 89
Location: United States
GMAT 1: 740 Q49 V42
GPA: 3.49
Re: In ∆ RPS above, if RP < PS, which of the following is true?  [#permalink]

### Show Tags

18 Aug 2017, 11:18
1
E)

The length of a side is directly proportional to the angle across from it. So since PS is longer than RP, angle r > angle s

Posted from my mobile device
Re: In ∆ RPS above, if RP < PS, which of the following is true?   [#permalink] 18 Aug 2017, 11:18
Display posts from previous: Sort by