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# What is the perimeter of triangle ABC?

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Math Expert
Joined: 02 Sep 2009
Posts: 51230
What is the perimeter of triangle ABC?  [#permalink]

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23 Aug 2018, 03:11
00:00

Difficulty:

5% (low)

Question Stats:

87% (00:29) correct 13% (00:20) wrong based on 54 sessions

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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

_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
What is the perimeter of triangle ABC?  [#permalink]

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Updated on: 24 Aug 2018, 05:19
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, 07:08.
Last edited by PKN on 24 Aug 2018, 05:19, edited 1 time in total.
Director
Joined: 31 Oct 2013
Posts: 883
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: What is the perimeter of triangle ABC?  [#permalink]

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24 Aug 2018, 03:13
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.

The best answer is C.
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: What is the perimeter of triangle ABC?  [#permalink]

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24 Aug 2018, 03:52
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.

The best answer is C.

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: 261
Re: What is the perimeter of triangle ABC?  [#permalink]

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24 Aug 2018, 05:06
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.

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: What is the perimeter of triangle ABC?  [#permalink]

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24 Aug 2018, 05:17
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? &nbs [#permalink] 24 Aug 2018, 05:17
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# What is the perimeter of triangle ABC?

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