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Line DB divides Rectangle ABCD into two equal triangles. Is

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by BTGmoderatorDC » Fri Jul 19, 2019 3:38 am

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Answers

A

B

C

D

E

Stats

Difficulty—

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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

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Source: — Data Sufficiency |

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by Ian Stewart » Fri Jul 19, 2019 7:12 am
Even if we had enough information using both Statements to be sure ABD was a 30-60-90 triangle, we still wouldn't know if angle ABD was 30 degrees or 60 degrees, so the answer must be E (and we can't even be sure it's a 30-60-90, because the side of length 2 might not be the hypotenuse of ABD).
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