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

 It is currently 23 Oct 2019, 11:20

### 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

# What is the perimeter of triangle ABC?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58464
What is the perimeter of triangle ABC?  [#permalink]

### Show Tags

23 Aug 2018, 04:11
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:33) correct 14% (00:40) wrong based on 68 sessions

### HideShow timer Statistics

What is the perimeter of triangle ABC?

(1) The shortest side of the triangle is 5.
(2) The ratio of the measure of the angles in triangle ABC is 1:2:3

_________________
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1011
WE: Supply Chain Management (Energy and Utilities)
What is the perimeter of triangle ABC?  [#permalink]

### Show Tags

Updated on: 24 Aug 2018, 06:19
Bunuel wrote:
What is the perimeter of triangle ABC?

(1) The shortest side of the triangle is 5.
(2) The ratio of the measure of the angles in triangle ABC is 1:2:3

Question stem:- What is the perimeter of triangle ABC?
measure of three sides is required in order to determine perimeter of a triangle.

St1:- The shortest side of the triangle is 5.
Other two sides may take numerous measures.
So, perimeter of the triangle is not unique.
Insufficient.

St2:- The ratio of the measure of the angles in triangle ABC is 1:2:3
Or, ABC is a right angled triangle. (It could be 30-60-90)
But we require length of sides.
Insufficient.
Combining, We have sides in the ratio $$x:2:\sqrt{3}x$$, where 'x' is the length of shortest side.
So sides of the triangle are: 5,10, and $$5\sqrt{3}$$
So, perimeter can be determined.
Sufficient.
Ans.(C)

Edit:- 30-60-90
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine

Originally posted by PKN on 23 Aug 2018, 08:08.
Last edited by PKN on 24 Aug 2018, 06:19, edited 1 time in total.
VP
Joined: 31 Oct 2013
Posts: 1468
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: What is the perimeter of triangle ABC?  [#permalink]

### Show Tags

24 Aug 2018, 04:13
Bunuel wrote:
What is the perimeter of triangle ABC?

(1) The shortest side of the triangle is 5.
(2) The ratio of the measure of the angles in triangle ABC is 1:2:3

Statement 1: Shortest side is 5 but we don't don't other 2 sides. NOT sufficient.

Statement 2 : Ratio is given, not the exact value. NOT Sufficient.

Combining both Statements :

1x = 5

x = 5

2x = 10

3x = 15.

The perimeter = 5 + 10 + 15 = 30.

VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1011
WE: Supply Chain Management (Energy and Utilities)
Re: What is the perimeter of triangle ABC?  [#permalink]

### Show Tags

24 Aug 2018, 04:52
1
selim wrote:
Bunuel wrote:
What is the perimeter of triangle ABC?

(1) The shortest side of the triangle is 5.
(2) The ratio of the measure of the angles in triangle ABC is 1:2:3

Statement 1: Shortest side is 5 but we don't don't other 2 sides. NOT sufficient.

Statement 2 : Ratio is given, not the exact value. NOT Sufficient.

Combining both Statements :

1x = 5

x = 5

2x = 10

3x = 15.

The perimeter = 5 + 10 + 15 = 30.

Hi selim,

In st2, 1:2:3<<-----The ratio of the three anglesof the triangle NOT SIDES.

You know, ratio of the angles is not same as ratio of the sides.(UNLESS its an equilateral triangle)

PLS TAKE CARE.
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Senior Manager
Joined: 07 Oct 2017
Posts: 252
Re: What is the perimeter of triangle ABC?  [#permalink]

### Show Tags

24 Aug 2018, 06:06
PKN wrote:
Bunuel wrote:
What is the perimeter of triangle ABC?

(1) The shortest side of the triangle is 5.
(2) The ratio of the measure of the angles in triangle ABC is 1:2:3

Question stem:- What is the perimeter of triangle ABC?
measure of three sides is required in order to determine perimeter of a triangle.

St1:- The shortest side of the triangle is 5.
Other two sides may take numerous measures.
So, perimeter of the triangle is not unique.
Insufficient.

St2:- The ratio of the measure of the angles in triangle ABC is 1:2:3
Or, ABC is a right angled triangle. (It could be 30-60-90 or 15-60-90 etc)
But we require length of sides.
Insufficient.
Combining, We have sides in the ratio $$x:2:\sqrt{3}x$$, where 'x' is the length of shortest side.
So sides of the triangle are: 5,10, and $$5\sqrt{3}$$
So, perimeter can be determined.
Sufficient.
Ans.(C)

Hi PKN,

Can you please check the underline part. Is that correct?

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
_________________
Thank you =Kudos
The best thing in life lies on the other side of the pain.
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1011
WE: Supply Chain Management (Energy and Utilities)
Re: What is the perimeter of triangle ABC?  [#permalink]

### Show Tags

24 Aug 2018, 06:17
Hi.
It was a typo...it will be always a 30-60-90 triangle.
Thank you.

Posted from my mobile device
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Re: What is the perimeter of triangle ABC?   [#permalink] 24 Aug 2018, 06:17
Display posts from previous: Sort by