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Abstract. We give a simple ruler and compass construction of a triangle given its centroid, incenter, and one vertex. An analysis of the number of solutions is also given. 1. Construction The ruler and compass construction of a triangle from its centroid, incenter, and one vertex was one of the unresolved cases in [3]. An analysis of this problem, including the number of solutions, was given in [1]. In this note we give a very simple construction of triangle ABC with given centroid G, incenter I, and vertex A. The construction depends on the following propositions. For another slightly different construction, see [2]. Proposition 1. Given triangle ABC with Nagel point N, let D be the midpoint of BC. The lines ID and AN are parallel. Proof. The centroid G divides each of the segments AD and NI in the ratio AG