Geometry.  the medians of a triangle are the line segments from each vertex to the midpoint of the opposite side (see the figure). find the lengths of the medians of the triangle with vertices at a = (0, 0), b = (6, 0), and c = (4, 4). 2. geometry.  an equilateral triangle is one in which all three sides are of equal length. if two vertices of an equilateral triangle are (0, 4) and (0, 0), find the third vertex. how many of these triangles are possible? 3. geometry find the midpoint of each diagonal of a square with side of length s. draw the conclusion that the diagonals of a square intersect at their midpoints.  [hint: use (0, 0), (0, s), (s, 0), and (s, s) as the vertices of the square.] 4. geometry verify that the points (0, 0), (a, 0), and a2,a32 are the vertices of an equilateral triangle. then show that the midpoints of the three sides are the vertices of a second equilateral triangle.