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

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Math Expert
Joined: 02 Sep 2009
Posts: 46297
In ∆ RPS above, if RP < PS, which of the following is true? [#permalink]

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17 Aug 2017, 23:31
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Difficulty:

25% (medium)

Question Stats:

88% (00:36) correct 13% (00:46) wrong based on 36 sessions

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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 521 times ]

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GMAT 1: 630 Q47 V29
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Re: In ∆ RPS above, if RP < PS, which of the following is true? [#permalink]

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

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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
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Joined: 22 May 2016
Posts: 1760
Re: In ∆ RPS above, if RP < PS, which of the following is true? [#permalink]

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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

$$r > s$$

Answer E

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

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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

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Re: In ∆ RPS above, if RP < PS, which of the following is true?   [#permalink] 18 Aug 2017, 11:18
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# In ∆ RPS above, if RP < PS, which of the following is true?

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