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Is triangle ABC above a right triangle? (1) x – y = 0 (2) x + y = 90

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 49271
Is triangle ABC above a right triangle? (1) x – y = 0 (2) x + y = 90  [#permalink]

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New post 04 Sep 2018, 23:52
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Difficulty:

  35% (medium)

Question Stats:

79% (00:27) correct 21% (00:51) wrong based on 19 sessions

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Joined: 20 Feb 2015
Posts: 733
Concentration: Strategy, General Management
Premium Member CAT Tests
Re: Is triangle ABC above a right triangle? (1) x – y = 0 (2) x + y = 90  [#permalink]

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New post 05 Sep 2018, 00:54
Bunuel wrote:
Image
Is triangle ABC above a right triangle?

(1) x – y = 0
(2) x + y = 90


Attachment:
image003.jpg


(1) x – y = 0
x=y
insufficient

(2) x + y = 90
z+x+y=180
z=90
sufficient

B
Math Expert
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Joined: 02 Aug 2009
Posts: 6795
Re: Is triangle ABC above a right triangle? (1) x – y = 0 (2) x + y = 90  [#permalink]

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New post 05 Sep 2018, 01:07
Is triangle ABC above a right triangle?

(1) x – y = 0
\(x – y = 0.........x=y\)
the combination could be 90-45-45.... Yes
But it could be 60-60-60 also.....No
or 80-50-50.......No
insuff

(2) x + y = 90
\(x+y+\angle{BAC}=180....90 + \angle{BAC}=180......\angle{BAC}=90\)
suff

B
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Is triangle ABC above a right triangle? (1) x – y = 0 (2) x + y = 90 &nbs [#permalink] 05 Sep 2018, 01:07
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