Drawing triangle when length of all 3 Medians of a triangle are given

To draw a triangle when medians are given. We first draw a triangle using 1/3rd of medians. Now we take one side of this triangle and extend on both sides by the same side to get the proper length of the median of original triangle. Now at the extended end we join with the remaining point of our 1/3rd triangle. The twice of this segment will give us one side of the triangle and the 2nd vertex of the original triangle. Now use this and the original extended point to draw a segment and twice of that segment will give the 2nd side of the triangle. Now the remaining two points will determine the third side.
  The drawing shows the red triangle as the triangle which is formed by 1/3rd the sides of median. The blue triangle is the original triangle. We verify by measuring the length of median of the triangle.