Question: Equilateral triangle ABC is inscribed in a circle . A second circle is tangent internally to the circumcircle ( i.e . the circle where the

Equilateral triangle

ABC

is inscribed in a circle . A second circle is tangent internally to the circumcircle (

i.e

. the

circle where the triangle is inscribe) of

triangle

ABC

at

T

and tangent to sides

AB

and

AC

at points

P

and

Q

,

respectively. If

BC

= 12, find

PQ

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