These are given medians of a triangle.
We know that all three medians intersect at a point (M).
And where they intersect at point M is at a point two thirds of that segment, no matter what kind of triangle you have.
The ratios stay the same. So to construct the original triangle we tri-sect the three given segments.
Then take one of the segments (K) at a point of trisection and construct a circle using 2/3 of one of the other segments (K). Then take the remaining 1/3 of the segment (K) and construct a circle using that as the radius.
So I took 1/3 of segment (K) and made a point (Z). Then from that
point I took 2/3 of segment (M) from point (Z) and the other 1/3
of segment (M) to the other side of point (Z). Then I made a ray
and had the length of segment (M). I constructed segment (L) the
same way. The I rotated segment (J) until the rays of the lines and
the points matced up to form the triangle.
So
you get something that looks this. Then rotate the points until you get
three endpoints that are colinear to each other. Once you match up three
points the remaining point will also match up and then you have the other
sides of the triangle.