The figure shows an equilateral triangle ABC with the incircle O (F is the tangency point on
BC). Circles O_{1} and O_{2} 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 O_{1} at T, prove that FT = DE.
Sketch of problem 1314
See also:
Problems
All Problems
Open Problems
Visual
Index
13111320
Triangle
Equilateral Triangle
Circle
Incircle
Tangent Circles
Tangent
line
Congruence
View or
post a solution
Kaleidoscope of problem 1314 using iPad Apps
