Step 2: Construct three equilateral triangles on the outsides of the original triangle (Hint: use a compass)
Step 3: Find the midpoint of the sides of the grey triangle, draw a line connecting the midpoint and the vertices directly across from it.
Step 4 & 5 Find the midpoint of one of the other sides of the equilateral triangles, draw a line connecting the midpoint and the vertices directly across from it. Find the intersections of those points