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

It is currently 15 Aug 2018, 00:00

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

Triangle ABC has two of its three sides as 9 units and 12 units respec

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

Hide Tags

DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1338
Location: India
Premium Member
Triangle ABC has two of its three sides as 9 units and 12 units respec  [#permalink]

Show Tags

New post 25 Jul 2018, 11:12
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

19% (01:08) correct 81% (01:57) wrong based on 16 sessions

HideShow timer Statistics

Triangle ABC has two of its three sides as 9 units and 12 units respectively in length. Triangle PQR has one of its three sides as 12 units in length. Is the area of triangle ABC same as that of triangle PQR?

(1) Triangle ABC is an isosceles triangle with AB = AC in length.

(2) Triangle PQR is equilateral.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6519
Re: Triangle ABC has two of its three sides as 9 units and 12 units respec  [#permalink]

Show Tags

New post 25 Jul 2018, 19:53
Triangle ABC has two of its three sides as 9 units and 12 units respectively in length. Triangle PQR has one of its three sides as 12 units in length. Is the area of triangle ABC same as that of triangle PQR?

(1) Triangle ABC is an isosceles triangle with AB = AC in length.
Triangle PQR can have other two sides 100 each... Area of PQR is more
Triangle PQR can have other two sides same as that of ABC... Area will be same
Insufficient

(2) Triangle PQR is equilateral.
This means all sides are equal so area =\(\frac{√3}{4}*12^2=√3*3*12=36√3\)
Max area of ABC is when it is a right angle triangle and the third side is the greatest or hypotenuse
So area =1/2 *9*12=54
35√3>54
So the area can never be equal
Sufficient

B
_________________

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


GMAT online Tutor

Re: Triangle ABC has two of its three sides as 9 units and 12 units respec &nbs [#permalink] 25 Jul 2018, 19:53
Display posts from previous: Sort by

Triangle ABC has two of its three sides as 9 units and 12 units respec

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.