Register    Login    Search    Rss Feeds

Forums Home » Ask An Instructor » GMAT Math » GMAT Prep Math


 Page 1 of 1 [ 3 posts ] 



  Print view Print view Previous topic Previous topic | Next topic Next topic
 

VIC problem

Author Message
poonamchiK
 Post subject: VIC problem
 Post Posted: Sun Aug 29, 2010 2:56 am 
Offline
Students


Posts: 104
If there are 2 corresponding angle triangles and one has an area twice the other. then in therms of s (smaller triangle's base) what is S (bigger triangle's base)
a. √ 2s /2
b. √ 3s/2
c. √2s
d. √ 3s
e. 2s

correct answer c. ?
Top 
gokul_nair1984
 Post subject: Re: VIC problem
 Post Posted: Sun Aug 29, 2010 2:50 pm 
Offline
Students


Posts: 170
I assume 2 corresponding angled traingles mean that 2 angles are corresponding in both triangles. Thus the third angle also has to be same. Therefore, by AAA (Angle-Angle-Angle) rule we can prove both the triangles are similar in nature.

Furthermore just by heart this rule ( It can be proven)

If two similar triangles have sides in the ratio a/b , then their areas are in the ratio (a^2)/(b^2)----(1)

Coming to the problem,
Let's assume the area of the smaller triangle is x
Therefore, the area of the larger triangle is 2x

Substituting this information in (1) we get,
(s^2)/(S^2)=x/2x

=>(s^2)/(S^2)=1/2

Therefore, S= √2s
Top 
RonPurewal
 Post subject: Re: VIC problem
 Post Posted: Thu Sep 16, 2010 7:10 am 
Offline
ManhattanGMAT Staff


Posts: 6765
here's a big fat existing thread on this problem:
post19973.html
Top 
Display posts from previous:  Sort by  
 
 Page 1 of 1 [ 3 posts ] 





Who is online

Users browsing this forum: No registered users and 1 guest

 
 

 
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to: