 It is currently 23 Aug 2019, 14:21 ### 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. # What is the area of triangle ABC shown above?  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 128

Kudos [?]: 2046 , given: 397

What is the area of triangle ABC shown above? [#permalink]
Expert's post 00:00

Question Stats: 77% (00:57) correct 22% (00:58) wrong based on 22 sessions
Attachment: #GREpracticequestion What is the area of triangle ABC shown above.jpg [ 11.18 KiB | Viewed 1114 times ]

What is the area of triangle ABC shown above?

A. 18

B. 20

C. $$12\sqrt{3}$$

D. $$18\sqrt{3}$$

E. 36

Practice Questions
Question: 7
Page: 101
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 128

Kudos [?]: 2046 , given: 397

Re: What is the area of triangle ABC shown above? [#permalink]
Expert's post
Explanation

The triangle is a 30°-60°-90° triangle, so the ratio of the lengths of the legs is 1 to $$\sqrt{3}$$. Since the
length of the shorter leg, AB, is 6, it follows that the length of the longer leg, AC, is $$\frac{6}{3}$$. The area
of the triangle is therefore $$\frac{1}{2}6*6\sqrt{3}$$, or $$18\sqrt{3}$$.

The correct answer is Choice D.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern Joined: 26 May 2017
Posts: 5
Followers: 0

Kudos [?]: 4 , given: 6

Re: What is the area of triangle ABC shown above? [#permalink]
sandy wrote:
Explanation

The triangle is a 30°-60°-90° triangle, so the ratio of the lengths of the legs is 1 to $$\sqrt{3}$$. Since the
length of the shorter leg, AB, is 6, it follows that the length of the longer leg, AC, is $$\frac{6}{3}$$. The area
of the triangle is therefore $$\frac{1}{2}6*6\sqrt{3}$$, or $$18\sqrt{3}$$.

The correct answer is Choice D.

How come 18\sqrt{3} will be equal to 18/3?
Intern Joined: 23 Mar 2017
Posts: 8
Followers: 0

Kudos [?]: 15 , given: 1

Re: What is the area of triangle ABC shown above? [#permalink]
Hi
The choices mentioned are wrong..

I took 4 minutes and 40 seconds and could not get my head around the choices until I saw your solution which mentions that D is correct..

Correct the typos and please make sure that there are no typos at-least in the question part.

Thank you.
Intern Joined: 17 Jul 2017
Posts: 15
Followers: 0

Kudos [?]: 7 , given: 13

Re: What is the area of triangle ABC shown above? [#permalink]
Doesn't D say 18/3 than 18/root 3? Please check the symbols - I picked A cause that was the closes to 18*root3
Thank you
GRE Instructor Joined: 10 Apr 2015
Posts: 2311
Followers: 72

Kudos [?]: 2200 , given: 27

Re: What is the area of triangle ABC shown above? [#permalink]
Expert's post
Sorry folks.
I have edited the original answer choices.

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Day emails Intern Joined: 28 May 2019
Posts: 2
Followers: 0

Kudos [?]: 1  , given: 0

Re: What is the area of triangle ABC shown above? [#permalink]
1
This post received
KUDOS
Im having trouble indentifying 6/3 for length AC. How are we getting that? Is it due to the enlargement ratio being 6. can someone please elaborate???

Thank you.
Founder  Joined: 18 Apr 2015
Posts: 7791
Followers: 145

Kudos [?]: 1597 , given: 7061

Re: What is the area of triangle ABC shown above? [#permalink]
Expert's post
Attachment: #GREpracticequestion What is the area of triangle ABC shown above.jpg [ 16.33 KiB | Viewed 444 times ]

Forget the explanations above.

The triangle is a $$30:60:90$$ triangle

Now it adheres to the standard $$x:x \sqrt{3}: 2x$$

Now the opposite side to the smallest angle - 30 - is 6.

So the standard above becomes $$6 : 6 \sqrt{3}: 12$$ because $$x = 6$$

So the area is $$\frac{b*h}{2} = \frac{6 \sqrt{3} * 6}{2} = \frac{36 \sqrt{3} }{2} = 18 \sqrt{3}$$

D is the answer.

Regards
_________________ Re: What is the area of triangle ABC shown above?   [#permalink] 28 May 2019, 11:23
Display posts from previous: Sort by

# What is the area of triangle ABC shown above?  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.