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

 It is currently 16 Nov 2018, 17:11

### 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

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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# If the ratio of the heights of two equilateral triangles is 3/2

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50619
If the ratio of the heights of two equilateral triangles is 3/2  [#permalink]

### Show Tags

11 Sep 2018, 23:52
00:00

Difficulty:

35% (medium)

Question Stats:

59% (01:06) correct 41% (00:47) wrong based on 17 sessions

### HideShow timer Statistics

If the ratio of the heights of two equilateral triangles is 3/2, what is the ratio of the area of the larger triangle to the smaller triangle?

A. 9/4

B. 3/2

C. $$\frac{3\sqrt{3}}{2}$$

D. $$\frac{\sqrt{3}}{2}$$

E. $$\frac{\sqrt{3}}{4}$$

_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 930
WE: Supply Chain Management (Energy and Utilities)
Re: If the ratio of the heights of two equilateral triangles is 3/2  [#permalink]

### Show Tags

12 Sep 2018, 01:02
Bunuel wrote:
If the ratio of the heights of two equilateral triangles is 3/2, what is the ratio of the area of the larger triangle to the smaller triangle?

A. 9/4

B. 3/2

C. $$\frac{3\sqrt{3}}{2}$$

D. $$\frac{\sqrt{3}}{2}$$

E. $$\frac{\sqrt{3}}{4}$$

Given, h1:h2=3:2
or, a1:a2=3:2

Irrespective of the magnitude of the scale factor(which is always a positive integer), h1>h2.

So, A1:A2=$$\frac{(a1)^2}{(a2)^2}$$=$$(\frac{3}{2})^2=\frac{9}{4}$$

Ans. (A)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Re: If the ratio of the heights of two equilateral triangles is 3/2 &nbs [#permalink] 12 Sep 2018, 01:02
Display posts from previous: Sort by

# If the ratio of the heights of two equilateral triangles is 3/2

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

 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®.