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enigma123
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Another EASIER way of looking at the problem
(1) we know the angle but not length of any side. Insufficient. Proceed to D

(2)CD=Root 12
Use property of similarity and we get that triangle ABC is similar to triangle ACD

AC/AB=DC/BE

As B is a midpoint of AC we get 2AB=AC

2AB/AB=Root12/BE

BE=Root12/2
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typing mistake above. "proceed to 2" and not "proceed to D"
sorry.
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enigma123
Attachment:
doubletr_q1.png
If B is the midpoint of AC, what is the length of BE?

(1) <BAE = 60 degrees

(2) CD = \(\sqrt{12}\)

st(2), BE II CD and B is the midpoint.
so BE = 1/2 CD = fixed value.
st(1) provides no fixed value, so insufficient.
Answer (B)
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enigma123

If B is the midpoint of AC, what is the length of BE?

(1) <BAE = 60 degrees
(2) CD = \(\sqrt{12}\)

(1) insufic

(2) sufic

CD/BE=AD/AE
√12/y=x/(x/2)
√12/y=2
y=√12/2=√3

Ans (B)
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