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

 It is currently 25 Aug 2019, 21:55 ### 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
Your Progress

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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # Triangle ABC is equilateral. A point D lies on side BC and AD is

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Retired Moderator P
Joined: 22 Aug 2013
Posts: 1434
Location: India
Triangle ABC is equilateral. A point D lies on side BC and AD is  [#permalink]

### Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 68% (01:23) correct 32% (01:34) wrong based on 29 sessions

### HideShow timer Statistics

Triangle ABC is equilateral. A point D lies on side BC and AD is joined. Is the area of triangle ADB equal to that of triangle ADC?

(1) angle BAD < 30 degrees

(2) angle ADB > 90 degrees
VP  D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1032
WE: Supply Chain Management (Energy and Utilities)
Triangle ABC is equilateral. A point D lies on side BC and AD is  [#permalink]

### Show Tags

2
amanvermagmat wrote:
Triangle ABC is equilateral. A point D lies on side BC and AD is joined. Is the area of triangle ADB equal to that of triangle ADC?

(1) angle BAD < 30 degrees

(2) angle ADB > 90 degrees

Area of $$\triangle{ADB}$$=$$\triangle{ADC}$$ s.t. following conditions
a) 'D' is the midpoint of side BC (BD=CD) Or, AD is the median of $$\triangle{ABC}$$
b) AD is the angle bisector($$\angle{BAD}$$=$$\angle{CAD}$$) or AD is the perpendicular bisector of BC ($$\angle{ADB}$$=$$\angle{ADC}$$)
Apart from above, in all other conditions, area won't be equal. In short, any trial of shifting point 'D' left or right on the side BC will lead to inequality in areas of two triangles.

St1:- $$\angle{BAD} < 30$$ degrees
Violates condition (a) and (b).
Hence area of triangles under discussion is not equal.
Sufficient.

St2:- $$\angle{ADB} > 90$$ degrees
Violates condition (a) and (b).
Hence area of triangles under discussion is not equal.
Sufficient.

Ans. (D)
.
P.S.:- Only in an equilateral triangle, the altitude, median, angle bisector, and perpendicular bisector for each side are all the same single line
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine Triangle ABC is equilateral. A point D lies on side BC and AD is   [#permalink] 06 Aug 2018, 12:05
Display posts from previous: Sort by

# Triangle ABC is equilateral. A point D lies on side BC and AD is

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

#### MBA Resources  