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

It is currently 18 Sep 2018, 18:24

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 above right triangle, in terms of x?

  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: 49206
What is the area of the above right triangle, in terms of x?  [#permalink]

Show Tags

New post 02 Sep 2018, 21:59
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (00:44) correct 10% (00:12) wrong based on 39 sessions

HideShow timer Statistics

Image
What is the area of the above right triangle, in terms of x?


A. x^2/2

B. \(\frac{x^2\sqrt{3}}{2}\)

C. \(x^2\sqrt{3}\)

D. 2x^2

E. \(2x^2\sqrt{3}\)


Attachment:
image005.jpg
image005.jpg [ 1.59 KiB | Viewed 491 times ]

_________________

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

Senior Manager
Senior Manager
User avatar
S
Joined: 07 Oct 2017
Posts: 273
Re: What is the area of the above right triangle, in terms of x?  [#permalink]

Show Tags

New post 02 Sep 2018, 22:52
Bunuel wrote:
Image
What is the area of the above right triangle, in terms of x?


A. x^2/2

B. \(\frac{x^2\sqrt{3}}{2}\)

C. \(x^2\sqrt{3}\)

D. 2x^2

E. \(2x^2\sqrt{3}\)


Attachment:
1535954058494.jpg
1535954058494.jpg [ 77.24 KiB | Viewed 407 times ]
Answer is B

Thank you = Kudos
_________________

Thank you =Kudos
The best thing in life lies on the other side of the pain.

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4011
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: What is the area of the above right triangle, in terms of x?  [#permalink]

Show Tags

New post 03 Sep 2018, 08:52
Bunuel wrote:
Image
What is the area of the above right triangle, in terms of x?


A. x^2/2

B. \(\frac{x^2\sqrt{3}}{2}\)

C. \(x^2\sqrt{3}\)

D. 2x^2

E. \(2x^2\sqrt{3}\)


Attachment:
The attachment image005.jpg is no longer available
This is a right-angled isosceles triangle
Attachment:
Distance.jpg
Distance.jpg [ 3.44 KiB | Viewed 376 times ]
So, Area of the Triangle must be \(\frac{x^2}{2}\), Answer must be (A)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 835
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: What is the area of the above right triangle, in terms of x?  [#permalink]

Show Tags

New post 03 Sep 2018, 10:02
Abhishek009 wrote:
Bunuel wrote:
Image
What is the area of the above right triangle, in terms of x?


A. x^2/2

B. \(\frac{x^2\sqrt{3}}{2}\)

C. \(x^2\sqrt{3}\)

D. 2x^2

E. \(2x^2\sqrt{3}\)


Attachment:
image005.jpg
This is a right-angled isosceles triangle
Attachment:
Distance.jpg
So, Area of the Triangle must be \(\frac{x^2}{2}\), Answer must be (A)


The given triangle is a 60-90-30 triangle.
So, sides are in the ratio: \(\sqrt{3}x(=base):2x(=hypotenuse):x(=height)\)

Area of triangle=\(\frac{1}{2}*base*height=\frac{1}{2}*\sqrt{3}x*x\)=\(\frac{x^2\sqrt{3}}{2}\)

Ans. (B)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3484
Location: United States (CA)
Re: What is the area of the above right triangle, in terms of x?  [#permalink]

Show Tags

New post 07 Sep 2018, 17:09
Bunuel wrote:
Image
What is the area of the above right triangle, in terms of x?


A. x^2/2

B. \(\frac{x^2\sqrt{3}}{2}\)

C. \(x^2\sqrt{3}\)

D. 2x^2

E. \(2x^2\sqrt{3}\)


Attachment:
image005.jpg


We see that we have a 30-60-90 right triangle, so the base, which is opposite the 60 degree angle, is x√3.

Thus, the area of the triangle is x * x√3 * 1/2 = (x^2√3)/2.

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
User avatar
B
Joined: 06 Sep 2018
Posts: 34
Re: What is the area of the above right triangle, in terms of x?  [#permalink]

Show Tags

New post 08 Sep 2018, 09:30
This right triangle is a 30, 60, 90 triangle.
So, its side lengths are \(x\), \(\sqrt{3}x\), \(2x\)
Area =\(\frac{1}{2}*Base*Height\)
Area= \(\frac{1}{2}*x*\sqrt{3}x\)
Area= \(x^2\sqrt{3}x/2\)
_________________

Eric Thomas, "When you want to succeed as bad as you want to breathe, then you'll be successful."

Re: What is the area of the above right triangle, in terms of x? &nbs [#permalink] 08 Sep 2018, 09:30
Display posts from previous: Sort by

What is the area of the above right triangle, in terms of x?

  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®.