Assignment 6

Construction of a triangle given its three medians

Lucia Zapata ~Claudette Tucker



Given three line segments j, k and m. If these are the medians of a triangle, construct the triangle.

We now that the three medians of a triangle meet in a point at 2/3 from each vertex.






Now we need to take 2/3 of each median to construct a triangle.


Next, prolong segment BF 1/2 times BF until P, prolong EF a length equal to EF until A. Through F trace a parallel to BE until that parallel meets the prolongation of AP


Now construct the segments AB, BC and CA. Now ABC is our triangle constructed with the three medians.

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