BTGmoderatorDC wrote:

Line DB divides Rectangle ABCD into two equal triangles. Is Angle ABD equal to 30 degrees.

(1) One side of Triangle ABD is equal to 2.

(2) One side of Rectangle ABCD is 1.

OA E

Source: Veritas Prep

Needless to say that each statement alone is not sufficient.

Combining both the statements:

Case 1: Say AB = 1 and AD = 2, then we have /_A = 90º, and angle B can be determined. Let's not calculate it as of now.
Case 2: Say DB = 2 and AD = 1, then we have /_A = 90º, and angle B can be determined. Let's not calculate it as of now.

Note that the value of and B would be different from both the cases, thus, no unique value. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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swerve wrote:Hi,

I had a very basic doubt here.

If a line divides a rectangle into two equal triangles, shouldn't this line be the rectangle's diagonal and create a 45-degree angle at the vertices?

IF all 4 sides of the rectangle have EQUAL length (i.e,, the shape is a square), then the diagonal will create two 45-45-90 right triangles.
However, if the sides are not all the same length, the resulting triangles will NOT be 45-45-90 right triangles.

Cheers,
Brent