Line DB divides Rectangle ABCD into two equal triangles. Is
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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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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?
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?
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Yes, the line will be a diagonal, but the four angles created by this diagonal will each be 45 degrees only if the rectangle is a square.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?
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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.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?
However, if the sides are not all the same length, the resulting triangles will NOT be 45-45-90 right triangles.
Cheers,
Brent