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

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

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New post 17 Aug 2017, 23:31
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A
B
C
D
E

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  25% (medium)

Question Stats:

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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


[Reveal] Spoiler:
Attachment:
2017-08-18_1025.png
2017-08-18_1025.png [ 11.45 KiB | Viewed 319 times ]
[Reveal] Spoiler: OA

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

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New post 18 Aug 2017, 01:28
Bunuel wrote:
Image
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
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Re: In ∆ RPS above, if RP < PS, which of the following is true? [#permalink]

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

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New post 18 Aug 2017, 11:12
Bunuel wrote:
Image
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

\(r > s\)

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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New post 18 Aug 2017, 11:18
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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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