k is a Positive integer and 2<k<7.
What is the Value of k if 2,k and 7 are the sides of the triangle.
A)3
B)4
C)5
D)6
E)7
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Geometry
This topic has expert replies
-
VenugopalGurram
- Junior | Next Rank: 30 Posts
- Posts: 13
- Joined: Thu Nov 29, 2012 12:55 am
-
Jim@StratusPrep
- MBA Admissions Consultant
- Posts: 2279
- Joined: Fri Nov 11, 2011 7:51 am
- Location: New York
- Thanked: 660 times
- Followed by:266 members
- GMAT Score:770
Has to be 6.
The sum of any two sides must be greater than the other side.
The sum of any two sides must be greater than the other side.
GMAT Answers provides a world class adaptive learning platform.
-- Push button course navigation to simplify planning
-- Daily assignments to fit your exam timeline
-- Organized review that is tailored based on your abiility
-- 1,000s of unique GMAT questions
-- 100s of handwritten 'digital flip books' for OG questions
-- 100% Free Trial and less than $20 per month after.
-- Free GMAT Quantitative Review
-- Push button course navigation to simplify planning
-- Daily assignments to fit your exam timeline
-- Organized review that is tailored based on your abiility
-- 1,000s of unique GMAT questions
-- 100s of handwritten 'digital flip books' for OG questions
-- 100% Free Trial and less than $20 per month after.
-- Free GMAT Quantitative Review
-
sana.noor
- Legendary Member
- Posts: 512
- Joined: Mon Jun 18, 2012 11:31 pm
- Thanked: 42 times
- Followed by:20 members
it could be 5 also because 5 is less than 7 and greater than 2...
Work hard in Silence, Let Success make the noise.
If you found my Post really helpful, then don't forget to click the Thank/follow me button.
If you found my Post really helpful, then don't forget to click the Thank/follow me button.
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . .VenugopalGurram wrote:k is a Positive integer and 2<k<7.
What is the Value of k if 2,k and 7 are the sides of the triangle.
A)3
B)4
C)5
D)6
E)7
|A-B| < third side < A+B
In this question, the two given sides have length 2 and 7.
So, |2-7| < third side < 2+7
Or 5 < third side < 9
So the third side can have any length between 5 and 9.
Of course, we're also told that k < 7. So, among the answer choices, only 6 works.
Answer: D
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
According to the triangle inequality rule sum of two sides is greater than third side and difference of two sides in less than third side, so
2 +7 >k and 7-2<k
9>k>5
therefore k is either 6 or 7
but given that k<7
hence k will be 6
2 +7 >k and 7-2<k
9>k>5
therefore k is either 6 or 7
but given that k<7
hence k will be 6
