gmatprep

[ketkoag]

i assumed that both the triangles are isoceles triangles and then used area of the triangles.
please explain whether i assumed correctly..

[JeffB]

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.

[kbharadwaj.1987]

I think it's 2s. What's the OA?