The figure shows an equilateral triangle ABC with the incircle O (F is the tangency point on
BC). Circles O1 and O2 are tangent to circle O and
to the sides of angles A and C (D and E are the tangency points on AC).
If FT is tangent to circle O1 at T, prove that FT = DE.
Sketch of problem 1314
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Kaleidoscope of problem 1314 using iPad Apps