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Bunuel
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Bunuel

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

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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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