In triangle xyz, what is the length of yz ?
1>xy=3
2>xz=5.
Cant we assume it to be a 3-4-5 ? are there other values possible. I know about the theorem that sum of 2 sides is greater than 3rd side and the mod of diff between 2 sides is less than the 3rd side. So if we apply this here, are non integer values possible for yz ????
og-green ds
This topic has expert replies
- bblast
- Legendary Member
- Posts: 1079
- Joined: Mon Dec 13, 2010 1:44 am
- Thanked: 118 times
- Followed by:33 members
- GMAT Score:710
Cheers !!
Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
-
- Master | Next Rank: 500 Posts
- Posts: 370
- Joined: Sat Jun 11, 2011 8:50 pm
- Location: Arlington, MA.
- Thanked: 27 times
- Followed by:2 members
- bblast
- Legendary Member
- Posts: 1079
- Joined: Mon Dec 13, 2010 1:44 am
- Thanked: 118 times
- Followed by:33 members
- GMAT Score:710
Hi,winniethepooh wrote:A bit confused, the statement is x-y or x*y?
The statements are lengths of the sides of the triangle.
Cheers !!
Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
-
- Master | Next Rank: 500 Posts
- Posts: 370
- Joined: Sat Jun 11, 2011 8:50 pm
- Location: Arlington, MA.
- Thanked: 27 times
- Followed by:2 members
The answer should be E.
By both the statements you get no certainty of length of yz, as yz can be anywhere from 2<yz<8.
So, E!
By both the statements you get no certainty of length of yz, as yz can be anywhere from 2<yz<8.
So, E!
-
- Legendary Member
- Posts: 1448
- Joined: Tue May 17, 2011 9:55 am
- Location: India
- Thanked: 375 times
- Followed by:53 members
Hi,bblast wrote:In triangle xyz, what is the length of yz ?
1>xy=3
2>xz=5.
Cant we assume it to be a 3-4-5 ? are there other values possible. I know about the theorem that sum of 2 sides is greater than 3rd side and the mod of diff between 2 sides is less than the 3rd side. So if we apply this here, are non integer values possible for yz ????
You cannot assume it to be 3-4-5. Third side can be any value between 2 and 8. Non- integers are possible. If you are not convinced, just consider a right triangle with legs as 3 and 5. Hypotenuse will be sqrt(5^2+3^2) = sqrt(34) --> Non- integer(in fact irrational). So, depending on the angle between XY and XZ, the length of YZ lies between 2 to 8 (exclusive).
Cheers!
Things are not what they appear to be... nor are they otherwise
Things are not what they appear to be... nor are they otherwise
- bblast
- Legendary Member
- Posts: 1079
- Joined: Mon Dec 13, 2010 1:44 am
- Thanked: 118 times
- Followed by:33 members
- GMAT Score:710
thanks Frank,
i just realized I have made this mistake twice now. The other time I took the sum of 2 legs of a right triangle = 7 as sufficient.
however any combination of length is possible.
i just realized I have made this mistake twice now. The other time I took the sum of 2 legs of a right triangle = 7 as sufficient.
however any combination of length is possible.
Cheers !!
Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
- amit2k9
- Master | Next Rank: 500 Posts
- Posts: 461
- Joined: Tue May 10, 2011 9:09 am
- Location: pune
- Thanked: 36 times
- Followed by:3 members
using a+b,
xz-xy < yz < xz + xy
5-3 < yz < 8
hence E it is.
xz-xy < yz < xz + xy
5-3 < yz < 8
hence E it is.
For Understanding Sustainability,Green Businesses and Social Entrepreneurship visit -https://aamthoughts.blocked/
(Featured Best Green Site Worldwide-https://bloggers.com/green/popular/page2)
(Featured Best Green Site Worldwide-https://bloggers.com/green/popular/page2)