Problem 3 (Equilaterial Triangle)

One vertex of an equilaterial triangle is located at the point

The centroid of the triangle is located at the origin (0, 0). What are the coordinates of the other two vertices?

Solution

In the case of an equilaterial triangle, the centroid divides the midlines in a (2:1) proportion, where the length of a midline from a vertex to the centroid is twice the length from the centroid to the opposite side as illustrated in the following figure.

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Last modified on Tuesday, January 12, 1999