Community Mathematics Centre, CoMaC
(2017)
Two problem studies.
At Right Angles, 6 (1).
pp. 76-79.
Abstract
ABC is an equilateral triangle (Figure 1). Points P1, P2, …, P10 are taken on side BC, in that order, dividing that side into 11 equal parts. Similarly, points Q1, Q2, …, Q10 are taken on side CA, in that order, dividing that side into 11 equal parts, and points R1, R2, …, R10 are taken on side AB, in that order, dividing that side into 11 equal parts. Count the number of triangles PiQjRk such that the centroid of △PiQjRk coincides with the centroid of △ABC.
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