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What is the radius of the circle with center A ?

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Junior | Next Rank: 30 Posts
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by EbrahimHashem » Tue Mar 23, 2010 7:18 am
What is the radius of the circle with center A ?

(1) BC = 2√3
(2) Angle BCA has a measure of 30°.
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Source: — Data Sufficiency |
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by Giorgio » Tue Mar 23, 2010 7:34 am
(1) Not Sufficient
(2) Not Sufficient

Combined :

We we know that C angle is 30 , thus if we make right triangle out of this picture we get 30:60:90 triangle , and since we know BC , we know everything!
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by kstv » Tue Mar 23, 2010 9:27 am
A few points need to be thought out not necessarily worked out
ABC is a isosceles triangle
The perpendicular from A on BC bisects the base say at point X.
angle CAX = BAX = 60°.
CX = BX = sq rt of 3
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