It is currently 16 Jan 2018, 03:39

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43292

Kudos [?]: 139154 [0], given: 12777

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

### Show Tags

17 Aug 2017, 22:31
00:00

Difficulty:

25% (medium)

Question Stats:

92% (00:36) correct 8% (00:54) wrong based on 32 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

[Reveal] Spoiler:
Attachment:

2017-08-18_1025.png [ 11.45 KiB | Viewed 412 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139154 [0], given: 12777

Director
Joined: 18 Aug 2016
Posts: 627

Kudos [?]: 208 [0], given: 165

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, 00:28
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

[Reveal] Spoiler:
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

Kudos [?]: 208 [0], given: 165

Manager
Joined: 14 Sep 2016
Posts: 149

Kudos [?]: 6 [0], given: 36

Re: In ∆ RPS above, if RP < PS, which of the following is true? [#permalink]

### Show Tags

18 Aug 2017, 01:09
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

Kudos [?]: 6 [0], given: 36

VP
Joined: 22 May 2016
Posts: 1244

Kudos [?]: 454 [0], given: 670

Re: In ∆ RPS above, if RP < PS, which of the following is true? [#permalink]

### Show Tags

18 Aug 2017, 10:12
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

[Reveal] Spoiler:
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
_________________

(formerly genxer123)
At the still point, there the dance is. -- T.S. Eliot

Kudos [?]: 454 [0], given: 670

Manager
Joined: 09 Oct 2016
Posts: 90

Kudos [?]: 8 [1], given: 8

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, 10:18
1
KUDOS
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

Kudos [?]: 8 [1], given: 8

Re: In ∆ RPS above, if RP < PS, which of the following is true?   [#permalink] 18 Aug 2017, 10:18
Display posts from previous: Sort by