It is currently 19 Nov 2017, 07:35

### 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

# Area of triangle, given ratio of interior angles

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 18 Aug 2009
Posts: 299

Kudos [?]: 362 [0], given: 9

Area of triangle, given ratio of interior angles [#permalink]

### Show Tags

01 Nov 2009, 04:06
3
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

94% (02:17) correct 6% (01:02) wrong based on 124 sessions

### HideShow timer Statistics

Please see the image (click + to enlarge)
Attachments

clubPlaceholder.JPG [ 14.4 KiB | Viewed 3199 times ]

Kudos [?]: 362 [0], given: 9

Math Expert
Joined: 02 Sep 2009
Posts: 42247

Kudos [?]: 132677 [2], given: 12331

Re: Area of triangle, given ratio of interior angles [#permalink]

### Show Tags

01 Nov 2009, 04:56
2
KUDOS
Expert's post
$$x+2x+3x=180$$ --> $$x=30$$ degrees, $$2x=60$$ degrees, $$3x=90$$ degrees.

Hence we have right triangle $$30-60-90$$ and the shortest side$$=1$$.

For the right triangle $$30-60-90$$ the ratio of sides are $$1/\sqrt{3}/2$$, as the shortest side is $$1$$: $$Area=1*\sqrt{3}/2=\sqrt{3}/2$$

_________________

Kudos [?]: 132677 [2], given: 12331

Manager
Joined: 22 Jul 2008
Posts: 96

Kudos [?]: 241 [1], given: 11

Location: Bangalore,Karnataka
Re: Area of triangle, given ratio of interior angles [#permalink]

### Show Tags

01 Nov 2009, 04:19
1
KUDOS
angles in ratio x:2x:3x so its a 30-60-90 triangle and with shortest side 1, from trigonometry we have hypotenuse =2 and longest side =\sqrt{3},

so area =1/2 * base * height
= 1/2 * 1 *\sqrt{3}
= \sqrt{3}/2 which is D

Kudos [?]: 241 [1], given: 11

Joined: 31 Dec 1969

Kudos [?]: [0], given:

Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)
Re: Area of triangle, given ratio of interior angles [#permalink]

### Show Tags

01 Nov 2009, 04:22
x+2x+3x=180

x=180/6, x=30

so the angles are 30,60,90

and AB is the shortest side and it has to be oppsite to 30.

in 30-60-90 combination the ratio of lengths are 1:\sqrt{3}:2

so the one opp to 60 is \sqrt{3}

one opp to 90 is 2

the area is \sqrt{3}

Kudos [?]: [0], given:

Senior Manager
Joined: 18 Aug 2009
Posts: 299

Kudos [?]: 362 [0], given: 9

Re: Area of triangle, given ratio of interior angles [#permalink]

### Show Tags

01 Nov 2009, 04:41
divyakatas wrote:
x+2x+3x=180

x=180/6, x=30

so the angles are 30,60,90

and AB is the shortest side and it has to be oppsite to 30.

in 30-60-90 combination the ratio of lengths are 1:\sqrt{3}:2

so the one opp to 60 is \sqrt{3}

one opp to 90 is 2

the area is \sqrt{3}

kirankp has it right and you are very close, something wrong in the final step...
OA:
[Reveal] Spoiler:
D

Kudos [?]: 362 [0], given: 9

Non-Human User
Joined: 09 Sep 2013
Posts: 15690

Kudos [?]: 282 [0], given: 0

Re: Area of triangle, given ratio of interior angles [#permalink]

### Show Tags

09 Jul 2014, 06:39
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 [?]: 282 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 15690

Kudos [?]: 282 [0], given: 0

Re: Area of triangle, given ratio of interior angles [#permalink]

### Show Tags

18 Jul 2016, 19:02
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 [?]: 282 [0], given: 0

Re: Area of triangle, given ratio of interior angles   [#permalink] 18 Jul 2016, 19:02
Display posts from previous: Sort by