GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2019, 13:22

### 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

# In a triangle ABC point D lies on segment AC. Is the area of triangle

Author Message
TAGS:

### Hide Tags

Manager
Joined: 14 Oct 2014
Posts: 66
Location: United States
GMAT 1: 500 Q36 V23
In a triangle ABC point D lies on segment AC. Is the area of triangle  [#permalink]

### Show Tags

19 Dec 2014, 19:45
1
00:00

Difficulty:

55% (hard)

Question Stats:

53% (01:39) correct 47% (01:58) wrong based on 109 sessions

### HideShow timer Statistics

In a triangle ABC point D lies on segment AC. Is the area of triangle ABD greater than the area of triangle BDC?

(2) BC > AB
GMAT Tutor
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 622
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Re: In a triangle ABC point D lies on segment AC. Is the area of triangle  [#permalink]

### Show Tags

19 Dec 2014, 22:53
[Figure Attached]

Area of triangle ABD = (1/2)*AD*BE
Area of triangle BDC = (1/2)*DC*BE

So if we know a relationship between AD and DC then we can say whether the area of triangle ABD greater than the area of triangle BDC or not.

STAT1
Multiply with (1/2)*BE on both the sides we get
So, the area of triangle ABD is NOT greater than the area of triangle BDC.
SO, SUFFICIENT

STAT2
BC > AB
We do not know anything about D. D can be anywhere on AC and so the the area of triangle ABD can be greater than,less than or equal to the area of triangle BDC
So, INSUFFICIENT

Hope it helps!

greater than the area of triangle BDC?
viktorija wrote:
In a triangle ABC point D lies on segment AC. Is the area of triangle ABD greater than the area of triangle BDC?
(2) BC > AB

Attachments

File comment: Figure

fig.png [ 5.57 KiB | Viewed 2545 times ]

_________________
Retired Moderator
Joined: 22 Aug 2013
Posts: 1428
Location: India
Re: In a triangle ABC point D lies on segment AC. Is the area of triangle  [#permalink]

### Show Tags

22 Jan 2018, 23:16
1
viktorija wrote:
In a triangle ABC point D lies on segment AC. Is the area of triangle ABD greater than the area of triangle BDC?
(2) BC > AB

If suppose D was the mid-point of AD, then AD would become median and in that case areas of two triangles ABD and BDC would be equal (thats a property of median). But instead if D is closer to A than C, then area of ABD would be less than BDC. And similarly if D is closer to C, then area of ABD would be more than BDC.

This clearly tells us that D is closer to A, so area of ABD is lesser, or NOT greater than that of BDC. Thus Sufficient.

(2) BC > AB
This just gives us the comparison between two sides of this triangle. No information about the location of D, or anything else. So not sufficient.

Re: In a triangle ABC point D lies on segment AC. Is the area of triangle   [#permalink] 22 Jan 2018, 23:16
Display posts from previous: Sort by