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What is the perimeter of triangle ABC?

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

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New post 23 Aug 2018, 04:11
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

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

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VP
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WE: Supply Chain Management (Energy and Utilities)
What is the perimeter of triangle ABC?  [#permalink]

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New post 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
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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.
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Re: What is the perimeter of triangle ABC?  [#permalink]

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New post 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.

The best answer is C.
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Re: What is the perimeter of triangle ABC?  [#permalink]

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New post 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.

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.
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Regards,

PKN

Rise above the storm, you will find the sunshine
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Re: What is the perimeter of triangle ABC?  [#permalink]

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New post 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?



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

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New post 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
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Regards,

PKN

Rise above the storm, you will find the sunshine
GMAT Club Bot
Re: What is the perimeter of triangle ABC?   [#permalink] 24 Aug 2018, 06:17
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