In the figure below, 0 is the center of the circle and triangle AB0 is equilateral. If the sides of AB0 are the length of 6, what is the length of line BC?

Question

anonymous · Answer

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anonymous · Answer

oh the points of the triangle are supposed to be touching the circle

anonymous · Answer

" If the sides of AB0 are the length of 6"
This sentence is non sense!

anonymous · Answer

h/o let me check if i typed it correctly

anonymous · Answer

well i typed and copied it from the problem correctly

anonymous · Answer

either each side is 2 or each side is 6 units

anonymous · Answer

but ABC is not equilateral

anonymous · Answer

BOC triangle is equilateral!

anonymous · Answer

how did you see/get that

anonymous · Answer

AO = OC = BO ( radius )

anonymous · Answer

so it would be 12

anonymous · Answer

wait but if triangle AB0 is equilateral angle A0B = 60 degrees which would make angle B0C 120 degrees

anonymous · Answer

hello?

anonymous · Answer

Yeah, my pic. is incorrect!
Since AOB is 60 -> BOC = 120 degree!

anonymous · Answer

ok so what does that mean for BC it is larger than AC so it must be greater than 6

anonymous · Answer

Now the angle double => the length is double 2 * 6 = 12 !

anonymous · Answer

ok thank you