The figure below shows a right triangle ABC (angle B = 90 degree) 
	  with AB = 4 and BC = 3. The 
	  incircle I is tangent to AB at D. The excircle E corresponding to BC is 
	  tangent to BC at F. BI intersects DF at G. Find the measure of IG.
 


See also: Typography and poster of problem 1408.
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