It is currently 18 Mar 2018, 01:08

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44287
In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE [#permalink]

### Show Tags

08 Aug 2017, 10:32
Expert's post
5
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

66% (01:26) correct 34% (01:10) wrong based on 36 sessions

### HideShow timer Statistics

In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE / area of ∆ BDC is

(A) greater than 0 and less than 1/2
(B) equal to 1/2
(C) greater than 1/2 and less than 1
(D) equal to 1
(E) greater than 1

[Reveal] Spoiler:
Attachment:

2017-08-08_2131.png [ 9.96 KiB | Viewed 679 times ]
[Reveal] Spoiler: OA

_________________
Director
Joined: 18 Aug 2016
Posts: 630
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE [#permalink]

### Show Tags

23 Aug 2017, 04:01
Bunuel wrote:

In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE / area of ∆ BDC is

(A) greater than 0 and less than 1/2
(B) equal to 1/2
(C) greater than 1/2 and less than 1
(D) equal to 1
(E) greater than 1

[Reveal] Spoiler:
Attachment:
2017-08-08_2131.png

lets take area of ∆ ABC = 2 * ∆ ABE (BE=EC)

now if we compare ∆ ABC and ∆ BDC
DC = 1/2 * AC
BC = BC
hence area of ∆ ABC = 2* ∆ BDC

hence area of ∆ ABE = area of ∆ BDC
D
Please correct me if i am wrong
_________________

We must try to achieve the best within us

Thanks
Luckisnoexcuse

Manager
Joined: 15 Feb 2017
Posts: 78
In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE [#permalink]

### Show Tags

23 Aug 2017, 04:06
2
KUDOS
1
This post was
BOOKMARKED
The median bisects the triangle into two triangles of equal areas.The areas of all the four triangles are equal.So the ratio is equal to 1.(Option D). Please give me kudos . I need them badly to increase my score.
Math Expert
Joined: 02 Aug 2009
Posts: 5715
Re: In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE [#permalink]

### Show Tags

23 Aug 2017, 04:09
1
KUDOS
Expert's post
Bunuel wrote:

In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE / area of ∆ BDC is

(A) greater than 0 and less than 1/2
(B) equal to 1/2
(C) greater than 1/2 and less than 1
(D) equal to 1
(E) greater than 1

[Reveal] Spoiler:
Attachment:
2017-08-08_2131.png

Hi..
so area of ADB = area of DCB= $$\frac{1}{2}$$ area of ABC
BASE is equal and height is same

II. BE=EC
so area of AEB = area of AEC= $$\frac{1}{2}$$ area of ABC
BASE is equal and height is same..

from I and II area of AEB = Area of BDC
so ratio=area of AEB / Area of BDC = 1

D
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

GMAT online Tutor

Re: In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE   [#permalink] 23 Aug 2017, 04:09
Display posts from previous: Sort by

# In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.