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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
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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04 Sep 2018, 23:52
00:00

Difficulty:

35% (medium)

Question Stats:

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

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Is triangle ABC above a right triangle?

(1) x – y = 0
(2) x + y = 90

Attachment:

image003.jpg [ 2.78 KiB | Viewed 184 times ]

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

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05 Sep 2018, 00:54
Bunuel wrote:

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
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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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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