It is currently 20 Sep 2017, 04:26

Close

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Triangles ABC and ABD share side AB. Triangle ABC has area Q and

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41631

Kudos [?]: 124106 [0], given: 12071

Triangles ABC and ABD share side AB. Triangle ABC has area Q and [#permalink]

Show Tags

New post 17 Aug 2017, 23:39
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

67% (01:36) correct 33% (01:13) wrong based on 32 sessions

HideShow timer Statistics

Triangles ABC and ABD share side AB. Triangle ABC has area Q and triangle ABD has area R. If AD is longer than AC, and BD is longer than BC, which of the following could be true?

I. R > Q
II. R = Q
III. R < Q

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II and III
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 124106 [0], given: 12071

Manager
Manager
avatar
B
Joined: 14 Sep 2016
Posts: 88

Kudos [?]: 3 [0], given: 27

Re: Triangles ABC and ABD share side AB. Triangle ABC has area Q and [#permalink]

Show Tags

New post 18 Aug 2017, 04:08
If we consider AB as the common base then in that R > Q since BD greater than BC and on the other hand AD is greater than AC that makes the height more for triangle ADB greater and in turn R > Q

Option A

Some other feedback on this one will be really helpful.

Kudos [?]: 3 [0], given: 27

Director
Director
User avatar
G
Joined: 18 Aug 2016
Posts: 502

Kudos [?]: 126 [0], given: 120

GMAT 1: 630 Q47 V29
GMAT ToolKit User Premium Member Reviews Badge
Triangles ABC and ABD share side AB. Triangle ABC has area Q and [#permalink]

Show Tags

New post 18 Aug 2017, 05:14
Bunuel wrote:
Triangles ABC and ABD share side AB. Triangle ABC has area Q and triangle ABD has area R. If AD is longer than AC, and BD is longer than BC, which of the following could be true?

I. R > Q
II. R = Q
III. R < Q

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II and III


if we consider angle ABC=ABD=90 (points C, B, D are on straight line) then by area formula we can say that R>Q as as BD >BC
if the rest two sides are greater than the respective sides of other triangle and third side is same. Always the area of the triangle with bigger sides will be higher than another.
ABC = sides are x,y,z ABD = sides are x,p,q (p>y and q>z)
Sc = (x+y+z)/2 and Sd = (x+p+q)/2
\(Ac = \sqrt{(Sc (Sc-x)(Sc-y)(Sc-z))}\)
\(Ad = \sqrt{(Sd (Sd-x)(Sd-p)(Sd-q))}\)
here
Sd>Sc
Sd-x>Sc-x
Sd-p>Sc-y
Sd-q>Sc-z
Hence irrespective of length of sides Area of ABD(R)>ABC(Q)

Please correct me if i am wrong
A
_________________

We must try to achieve the best within us

(Please like the below page on FB)

https://www.facebook.com/DeclutterCamp

Kudos [?]: 126 [0], given: 120

Expert Post
Math Forum Moderator
avatar
P
Joined: 02 Aug 2009
Posts: 4907

Kudos [?]: 5215 [0], given: 112

Triangles ABC and ABD share side AB. Triangle ABC has area Q and [#permalink]

Show Tags

New post 18 Aug 2017, 05:34
Bunuel wrote:
Triangles ABC and ABD share side AB. Triangle ABC has area Q and triangle ABD has area R. If AD is longer than AC, and BD is longer than BC, which of the following could be true?

I. R > Q
II. R = Q
III. R < Q

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II and III



Hi,

good Q Bunuel

Luckisnoexcuse and kunalsinghNS , you both are restricting your triangle between the side AB..
refer the attached sketch..
Black coloured triangle - Area Q
Red coloured Q<R
Blue coloured Q>R
Brown coloured Q=R

so all possible
E
Attachments

tri.png
tri.png [ 10.2 KiB | Viewed 204 times ]


_________________

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

Kudos [?]: 5215 [0], given: 112

Intern
Intern
avatar
B
Joined: 29 Mar 2016
Posts: 2

Kudos [?]: [0], given: 7

Re: Triangles ABC and ABD share side AB. Triangle ABC has area Q and [#permalink]

Show Tags

New post 18 Aug 2017, 05:41
E.

For R = Q, If you imagine dragging D downward, eventually the height (area of triangle ABD) will equal the height (area of triangle ABC), and then after that it will be bigger i.e R < Q

Kudos [?]: [0], given: 7

Re: Triangles ABC and ABD share side AB. Triangle ABC has area Q and   [#permalink] 18 Aug 2017, 05:41
    Similar topics Author Replies Last post
Similar
Topics:
10 EXPERTS_POSTS_IN_THIS_TOPIC ABC is a triangle with area 1. AF = AB/3, BE = BC/3 and ED = RaviChandra 8 27 Mar 2017, 10:27
9 EXPERTS_POSTS_IN_THIS_TOPIC The sides of right triangle ABC are such that the length of emmak 6 11 May 2016, 01:55
8 EXPERTS_POSTS_IN_THIS_TOPIC The side lengths of triangle ABC are such that AC > BC > AB. swarman 9 30 Dec 2016, 06:05
11 EXPERTS_POSTS_IN_THIS_TOPIC D and E are two points respectively on sides AB and AC of triangle ABC maheshsrini 5 15 Nov 2016, 23:04
2 EXPERTS_POSTS_IN_THIS_TOPIC In a triangle ABC, Point D is on side AB and point E is on side AC, techiesam 2 12 May 2016, 07:17
Display posts from previous: Sort by

Triangles ABC and ABD share side AB. Triangle ABC has area Q and

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.