Given: Segments j, k, and m, the medians of a triangle.

Construct: The triangle with the three given sides.

The construction involves:

1) finding the medians of triangle ABC which are AE, BD, and CF

2) constructing circles with center F and radius AE and center C with radius BD

3) choosing a point on the intersection of the two circles (H or I)

4) connecting C, F and H or C, F, and I.

Give it a try. Click on triangle below.