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

It is currently 23 Oct 2018, 05:00

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

What is the area of Triangle XYZ?

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50062
What is the area of Triangle XYZ?  [#permalink]

Show Tags

New post 16 Apr 2018, 05:05
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (00:52) correct 22% (01:05) wrong based on 49 sessions

HideShow timer Statistics

Manager
Manager
avatar
S
Joined: 30 May 2017
Posts: 120
Location: United States
Schools: HBS '21
GMAT 1: 690 Q50 V32
GRE 1: Q168 V164
GPA: 3.57
CAT Tests
Re: What is the area of Triangle XYZ?  [#permalink]

Show Tags

New post 16 Apr 2018, 08:32
[quote="Bunuel"]Image
What is the area of Triangle XYZ?

A. 4√3
B. 8
C. 8√3
D. 16
E. 16√3

XZ^2 = YZ^2 - XY^2

XZ^2 = 8^2 - 4^2

XZ^2 = 64 -16 = 48

XZ = √48 = √16 * √3 = 4√3

Area = 1/2 base * height = 1/2 * 4√3 * 4 = 8√3


Hence option C = 8√3 is the answer.
_________________

Kindly press the +1Kudos if you like the explanation. Thanks a lot!!!

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2040
Premium Member CAT Tests
What is the area of Triangle XYZ?  [#permalink]

Show Tags

New post 22 Apr 2018, 18:05
Bunuel wrote:
Image
What is the area of Triangle XYZ?

A. 4√3
B. 8
C. 8√3
D. 16
E. 16√3

Attachment:
TriangleXYZ.png

Watch for special triangles, especially if you see \(\sqrt{3}\) or \(\sqrt{2}\) in answer choices.

Rule: A right triangle whose hypotenuse is twice the length of one of its legs is a 30-60-90 triangle

30-60-90 triangles have corresponding sides opposite those angles in ratio
\(x : x\sqrt{3}: 2x\)

\(2x\)
, opposite the 90° angle = \(8\)
\(x= 4\)

So the other leg, \(x\sqrt{3}=4\sqrt{3}\)

Area, \(A=\frac{b*h}{2}\)

\(A= \frac{4*4\sqrt{3}}{2}=8\sqrt{3}\)

Answer C
_________________

___________________________________________________________________
For what are we born if not to aid one another?
-- Ernest Hemingway

GMAT Club Bot
What is the area of Triangle XYZ? &nbs [#permalink] 22 Apr 2018, 18:05
Display posts from previous: Sort by

What is the area of Triangle XYZ?

  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®.