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# In ∆ ABC above, if r > s, which of the following must be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 58443
In ∆ ABC above, if r > s, which of the following must be true?  [#permalink]

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24 Aug 2017, 02:01
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15% (low)

Question Stats:

90% (00:45) correct 10% (00:38) wrong based on 92 sessions

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In ∆ ABC above, if r > s, which of the following must be true?

(A) AB = BC
(B) AB < AC
(C) AB < BC
(D) AB > BC
(E) AB > AC

Attachment:

2017-08-24_1250_001.png [ 11.79 KiB | Viewed 1054 times ]

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Re: In ∆ ABC above, if r > s, which of the following must be true?  [#permalink]

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07 Sep 2017, 13:09
1
The correct answer is Option C.

Bunuel : please change the OA after review.
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Re: In ∆ ABC above, if r > s, which of the following must be true?  [#permalink]

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24 Aug 2017, 02:42
Bunuel wrote:

In ∆ ABC above, if r > s, which of the following must be true?

(A) AB = BC
(B) AB < AC
(C) AB < BC
(D) AB > BC
(E) AB > AC

Attachment:
2017-08-24_1250_001.png

sides opposite will follow the respective angles
if r>s
then BC>AB
C
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Re: In ∆ ABC above, if r > s, which of the following must be true?  [#permalink]

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24 Aug 2017, 04:03
sides size is proportional to opposite angle size
if r>s then BC>AB
so C
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Re: In ∆ ABC above, if r > s, which of the following must be true?  [#permalink]

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24 Aug 2017, 04:51

based on the property triangle property
plus one can also see that it r > s then side AB will be more steeper and BC will be more inclined that makes BC > AB
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Re: In ∆ ABC above, if r > s, which of the following must be true?  [#permalink]

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29 Aug 2017, 16:20
Bunuel wrote:

In ∆ ABC above, if r > s, which of the following must be true?

(A) AB = BC
(B) AB < AC
(C) AB < BC
(D) AB > BC
(E) AB > AC

Recall that in a triangle, the longer side is opposite the larger angle (and vice versa) and the shorter side is opposite the smaller angle (and vice versa). Since r > s, side BC (which is opposite angle r) is longer than side AB (which is opposite angle s). That is, BC > AB, or AB < BC.

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Re: In ∆ ABC above, if r > s, which of the following must be true?  [#permalink]

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07 Sep 2017, 14:15
chipsy wrote:
The correct answer is Option C.

Bunuel : please change the OA after review.

The OA is C. Edited. Thank you.
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Re: In ∆ ABC above, if r > s, which of the following must be true?   [#permalink] 07 Sep 2017, 14:15
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