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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

1). Two of the heights are less than 1/3 2). One of the heights is greater than 1/2

B. a side with 1/2 length makes at least one of the other two sides more than 1/2, making P greater than 1.

I agree that answer is B but if one side is greater than 1/2 then it does not mean that one more side will be greater than 1/2. Instead, sum of other two sides will be greater than 1/2 making perimeter greater than 1/2.
_________________

1). Two of the heights are less than 1/3 2). One of the heights is greater than 1/2

B. a side with 1/2 length makes at least one of the other two sides more than 1/2, making P greater than 1.

I agree that answer is B but if one side is greater than 1/2 then it does not mean that one more side will be greater than 1/2. Instead, sum of other two sides will be greater than 1/2 making perimeter greater than 1/2.

let me update: I mean "a side with 1/2 length makes the sum of other two sides at least > than 1/2, making P greater than 1". right?

Re: Is the perimeter of a triangle greater than 1? 1). Two of [#permalink]

Show Tags

11 Jul 2013, 10:54

3

This post received KUDOS

veenu08 wrote:

can someone please explain the logic for this question

STATEMENT 1: Two heights are less than 1/3 see in figure:==> 2 triangles are there ABC and DEF Perpendiclar from B to AC..and perpendicular from C to AB===>LESS THAN 1/3...But we can take point much higher shown....lets perpendicular from A to BC..is 100 ..SO IN THIS case perimeter you can see will be more than 1. take second triangle DEF ===>IN this all the heights are very smalll===>you can make very small triangle whose perimeter is less than 1. hence statement 1 is not sufficient.

STATEMENT 2: Triangle AMC and BMC are right angled triangle with AC and BC as hypotenuses respectively. Hence, both AC and BC are greater than CM. If the height CM is greater than 1/2 then the sides AC and BC must be greater than 1/2 too. Thus the perimeter of the triangle must be greater than 1. ==>Sufficient. hence B

HOPE IT HELPS

Attachments

tri.jpg [ 3.51 KiB | Viewed 3433 times ]

STMN 1.png [ 8.83 KiB | Viewed 3432 times ]

_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

GMAT RCs VOCABULARY LIST: http://gmatclub.com/forum/vocabulary-list-for-gmat-reading-comprehension-155228.html learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment : http://www.youtube.com/watch?v=APt9ITygGss

can someone please explain the logic for this question

Is the perimeter of a triangle greater than 1?

(1) Two of the heights are less than 1/3. Well, we can have a tiny triangle with the perimeter less than 1 but we also can have a right triangle with legs (heights) bit less than 1/3=0.(3). In this case hypotenuse wold be a bit less than 0.47 and the perimeter would be more than 1. Not sufficient.

(2) One of the heights is greater than 1/2. Consider the easiest case:

Attachment:

Perimeter2.png [ 2.22 KiB | Viewed 3434 times ]

AB>1/2, BC=hypotenuse>AB, thus the perimeter is for sure greater than 1. Sufficient.

Re: Is the perimeter of a triangle greater than 1? [#permalink]

Show Tags

10 Dec 2013, 04:34

So in other words, you can take the height (less than 1/3 of the triangle) then take the height of the triangle formed by the new triangle (where the height is less than 1/3?) I guess there is nothing implying otherwise, but I didn't think it would count to take the height of one triangle and then another one formed inside that triangle.

Re: Is the perimeter of a triangle greater than 1? [#permalink]

Show Tags

09 Aug 2015, 22:37

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: Is the perimeter of a triangle greater than 1? [#permalink]

Show Tags

18 Sep 2016, 07:51

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________