It is currently 18 Jan 2018, 01:56

### 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 June
Open Detailed Calendar

# If the measures of the angle in a triangle are in the ratio

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

### Hide Tags

Intern
Joined: 29 Sep 2011
Posts: 16

Kudos [?]: 58 [0], given: 0

If the measures of the angle in a triangle are in the ratio [#permalink]

### Show Tags

19 Jan 2012, 16:25
2
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

56% (00:44) correct 44% (00:35) wrong based on 166 sessions

### HideShow timer Statistics

If the measures of the angle in a triangle are in the ratio of 1:2:3, what is the ratio of the smallest side of the triangle to the largest side?

A. 1:2
B. 1:3
C. 1:5
D. 2:3
E. 2:5
[Reveal] Spoiler: OA

Kudos [?]: 58 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 43310

Kudos [?]: 139365 [0], given: 12787

### Show Tags

19 Jan 2012, 17:08
Expert's post
1
This post was
BOOKMARKED
Splendidgirl666 wrote:
Hi,
can someone help with this one please?

If the measures of the angle in a triangle are in the ratio of 1:2:3, what is the ratio of the smallest side of the triangle to the largest side?

1. 1:2
2. 1:3
3. 1:5
4. 2:3
5. 2:5

The measures of the angle in a triangle are in the ratio of 1:2:3 --> $$x+2x+3x=180$$ --> $$6x=180$$ --> $$x=30$$, $$2x=60$$ and $$3x=90$$. We have a right triangle where the angles are 30°, 60°, and 90°.
Attachment:

Math_Tri_Right3060.png [ 3.64 KiB | Viewed 8424 times ]

This is one of the 'standard' triangles you should be able recognize on sight. A fact you should commit to memory is: The sides are always in the ratio $$1:\sqrt{3}:2$$.

Notice that the smallest side (1) is opposite the smallest angle (30°), and the longest side (2) is opposite the largest angle (90°).

So the ratio of the smallest side of the triangle to the largest side is 1/2.

Check Triangles chapter of Math Book for more on this topic: math-triangles-87197.html

Hope it helps.
_________________

Kudos [?]: 139365 [0], given: 12787

Manager
Joined: 25 Oct 2013
Posts: 166

Kudos [?]: 77 [0], given: 56

Re: If the measures of the angle in a triangle are in the ratio [#permalink]

### Show Tags

07 Mar 2014, 02:14
If angles are in ratio of 1:2:3 the triangle becomes a 30-60-90 triangle. ratio of sides is 1:$$\sqrt{3}$$:2 hence answer is 1:2.
_________________

Click on Kudos if you liked the post!

Practice makes Perfect.

Kudos [?]: 77 [0], given: 56

Non-Human User
Joined: 09 Sep 2013
Posts: 14251

Kudos [?]: 291 [0], given: 0

Re: If the measures of the angle in a triangle are in the ratio [#permalink]

### Show Tags

09 Sep 2015, 01:35
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 291 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 14251

Kudos [?]: 291 [1], given: 0

Re: If the measures of the angle in a triangle are in the ratio [#permalink]

### Show Tags

26 Mar 2017, 06:15
1
KUDOS
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 291 [1], given: 0

Re: If the measures of the angle in a triangle are in the ratio   [#permalink] 26 Mar 2017, 06:15
Display posts from previous: Sort by

# If the measures of the angle in a triangle are in the ratio

 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®.