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3

Part of 1988 Mexico National Olympiad

Problems(1)

triangle between common tangents of externally tangent circles in terms of r,R

Source: Mexican Mathematical Olympiad 1988 OMM P3

7/27/2018
Two externally tangent circles with different radii are given. Their common tangents form a triangle. Find the area of this triangle in terms of the radii of the two circles.
geometrytangent circlescommon tangentsarea of a triangle