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  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

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Is ΔABC an isosceles triangle? (1) AD = DC (2) The area of ΔABD equal

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Is ΔABC an isosceles triangle? (1) AD = DC (2) The area of ΔABD equal  [#permalink]

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New post 07 Aug 2018, 04:34
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A
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  45% (medium)

Question Stats:

53% (00:42) correct 47% (01:05) wrong based on 68 sessions

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Is ΔABC an isosceles triangle?


(1) AD = DC

(2) The area of ΔABD equals the area of ΔBDC


Attachment:
GMAT_DS_Magoosh_168.png
GMAT_DS_Magoosh_168.png [ 4.16 KiB | Viewed 541 times ]

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Re: Is ΔABC an isosceles triangle? (1) AD = DC (2) The area of ΔABD equal  [#permalink]

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New post 07 Aug 2018, 05:14
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Bunuel wrote:
Image
Is ΔABC an isosceles triangle?


(1) AD = DC

(2) The area of ΔABD equals the area of ΔBDC


Attachment:
GMAT_DS_Magoosh_168.png



1) AD=DC
So in ∆ABD and ∆BDC,
a) AD=DC
b) angles ADB = angle BDC=90
c) BD is common

So both triangles are similar and congruent, and hence sides AB=BC
Thus isosceles triangle
Sufficient

2) areas same
Height is same , so base is same or AD=DC
Same as above
Sufficient

D
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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 ΔABC an isosceles triangle? (1) AD = DC (2) The area of ΔABD equal &nbs [#permalink] 07 Aug 2018, 05:14
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