In ∆ RPS above, if RP

Question

https://gmatclub.com/forum/download/file.php?id=37005 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 2017-08-18_1025.png

Luckisnoexcuse · Answer

in ∆ RPS
side RP: Side PS
if RP< PS then s<r
E
then respective angles infront will follow the same

kunalsinghNS · Answer

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

generis · Answer

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

gmathopeful19 · Answer

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

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