gmatprep

This topic has expert replies
Legendary Member
Posts: 876
Joined: Thu Apr 10, 2008 8:14 am
Thanked: 13 times

gmatprep

by ketkoag » Sun Sep 06, 2009 9:15 am
i assumed that both the triangles are isoceles triangles and then used area of the triangles.
please explain whether i assumed correctly..
Attachments
3.jpg

Master | Next Rank: 500 Posts
Posts: 153
Joined: Tue Jun 02, 2009 2:48 pm
Location: Ohio
Thanked: 16 times

hmm

by JeffB » Sun Sep 06, 2009 2:33 pm
Since the ratio of the areas is 2:1 - The ratios of the side lengths is simply: squareroot(2):squareroot (1):

So,

S = Squareroot(2) * s

Just remember, the connection between the areas and the side lengths is simply the side lengths squared, for similar triangles.

For instance:

If we have a 9,12,15 triangle and a 3,4,5.

A = 1/2 * 9 * 12 = 54
A = 1/2 * 3 * 4 = 6

Area ratio 9:1

And notice the ratio for the sides is 3:1 - Simply the square root, or to get the 9:1 ratio we simply square the 3:1 ratio.

I hope that helps.

Senior | Next Rank: 100 Posts
Posts: 85
Joined: Fri Jul 24, 2009 4:05 pm

by kbharadwaj.1987 » Sun Sep 06, 2009 3:27 pm
I think it's 2s. What's the OA?