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

It is currently 23 Oct 2019, 13:53

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Isosceles triangle ABC has two sides with lengths 3 and 9.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Manager
Manager
User avatar
G
Joined: 17 Jan 2018
Posts: 87
Concentration: Entrepreneurship, Strategy
Isosceles triangle ABC has two sides with lengths 3 and 9.  [#permalink]

Show Tags

New post 28 Aug 2018, 22:14
Hi all ,

Q ) Isosceles triangle ABC has two sides with lengths 3 and 9. What is the length of the third side?

The given solution was 9 for the above question, and explaination was given that with 3 - 3 - 9 we cant form an Isosceles triangle , only with 9 - 9 - 3 will form an Isosceles triangle.

But 3 - 3 - 9 will also form the Isosceles triangle right but it may look smaller than the 9 - 9 - 3 ?

or else am i missing something basic here ?
Senior Manager
Senior Manager
User avatar
G
Joined: 17 Jan 2017
Posts: 298
Location: India
GPA: 4
WE: Information Technology (Computer Software)
Re: Isosceles triangle ABC has two sides with lengths 3 and 9.  [#permalink]

Show Tags

New post 28 Aug 2018, 22:23
1
henryford wrote:
Hi all ,

Q ) Isosceles triangle ABC has two sides with lengths 3 and 9. What is the length of the third side?

The given solution was 9 for the above question, and explaination was given that with 3 - 3 - 9 we cant form an Isosceles triangle , only with 9 - 9 - 3 will form an Isosceles triangle.

But 3 - 3 - 9 will also form the Isosceles triangle right but it may look smaller than the 9 - 9 - 3 ?

or else am i missing something basic here ?


To determine if the three lengths will form a triangle or not.

We need to know the most basic property of a triangle:

Sum of lengths of any two sides of a triangle > Length of the third side

This means that:

• a + b > c
• b + c > a
• c + a > b

Please note that all the three inequalities should satisfy for the triangle to exist.

For the above Question if the triangle has 3-3-9 as its sides then 3+3 is not greater than 9. Hence triangle can't be formed.
In case of 9-9-3,
9+9>3
9+3>9
3+9>9
Hence a triangle can be formed.
_________________
Only those who risk going too far, can possibly find out how far one can go
GMAT Club Bot
Re: Isosceles triangle ABC has two sides with lengths 3 and 9.   [#permalink] 28 Aug 2018, 22:23
Display posts from previous: Sort by

Isosceles triangle ABC has two sides with lengths 3 and 9.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne