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

It is currently 23 Oct 2018, 14:26

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

What is the area of the triangle ABC?

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

Hide Tags

Manager
Manager
User avatar
G
Joined: 03 Mar 2018
Posts: 182
Premium Member
What is the area of the triangle ABC?  [#permalink]

Show Tags

New post 15 Mar 2018, 08:56
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (02:44) correct 30% (01:30) wrong based on 34 sessions

HideShow timer Statistics

What is the area of the triangle ABC?

(A) 15
(B) \(15\sqrt{3}\)
(C) \(5\sqrt{119}/2\)
(D) 32.5
(E) 36

Attachments

Capture1.JPG
Capture1.JPG [ 15.57 KiB | Viewed 334 times ]


_________________

Please mention my name in your valuable replies.

Intern
Intern
avatar
B
Joined: 06 Oct 2017
Posts: 9
What is the area of the triangle ABC?  [#permalink]

Show Tags

New post 15 Mar 2018, 15:05
Let AH be the height of the triangle with \(\angle\) AHB. \(90^{\circ}\)

Therefore, since \(\angle\) ABC is \(60^{\circ}\) \(\angle\) HAB is \(30^{\circ}\) and AH is half of AB
\(AH = \frac{12}{2} = 6\)

In triangle AHB, from Pythagorean theorem:
\(AB^2= AH^2+BH^2\);
\(12^2=6^2+BH^2;
144=36 + BH^2;
BH=\sqrt{108}=6\sqrt{3}\)

Since we have the height and the lenght of CB, the area of the triangle is:

\(S=\frac{a*h_a}{2} = (5*6\sqrt{3})/2 = 15\sqrt{3}\)


Answer: B
GMAT Club Bot
What is the area of the triangle ABC? &nbs [#permalink] 15 Mar 2018, 15:05
Display posts from previous: Sort by

What is the area of the triangle ABC?

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


Copyright

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®.