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                In the figure below, circles O1, O2, 
				and O3 are tangent to each other and to a line L at A, B, and E, 
				respectively. The circle O4 passes through A and B and is 
				tangent to circle O3 at F. O2B extended 
				meets circle O4 at C. Prove that triangle ABC is a 3-4-5 right 
				triangle.
 
		 
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