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

 It is currently 20 Oct 2019, 14:33

### 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

# In triangle ABC, side AB = 3 and side BC = 8. Which of the following

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58434
In triangle ABC, side AB = 3 and side BC = 8. Which of the following  [#permalink]

### Show Tags

18 Jan 2019, 00:22
00:00

Difficulty:

15% (low)

Question Stats:

78% (01:04) correct 22% (01:30) wrong based on 27 sessions

### HideShow timer Statistics

In triangle ABC, side AB = 3 and side BC = 8. Which of the following CANNOT be the perimeter of triangle ABC?

A 18
B 19
C 20
D 21
E 22

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5022
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In triangle ABC, side AB = 3 and side BC = 8. Which of the following  [#permalink]

### Show Tags

18 Jan 2019, 07:00
Bunuel wrote:
In triangle ABC, side AB = 3 and side BC = 8. Which of the following CANNOT be the perimeter of triangle ABC?

A 18
B 19
C 20
D 21
E 22

third side < 8+3 ; <11
so it can be 10
so perimter max; 8 +3+10= 21

imo E is not valid
Senior Manager
Joined: 15 Feb 2018
Posts: 367
Re: In triangle ABC, side AB = 3 and side BC = 8. Which of the following  [#permalink]

### Show Tags

19 Jan 2019, 00:29
This question tests the Triangle Inequality Theorem.
The third length of a triangle cannot be equal to or shorter than the difference of the other two sides nor can it be larger than or equal to the sum of the other two sides

BC-AB<AC<BC+AB
8-3<AC<8+3
5<AC<11

Subtract 11 from each of the options. The only one that is not within the range is E as it adds 11 (CANNOT be equal to the sum)

E
Re: In triangle ABC, side AB = 3 and side BC = 8. Which of the following   [#permalink] 19 Jan 2019, 00:29
Display posts from previous: Sort by