Question 25
Points $B,$ $D,$ and $J$ are midpoints of the sides of right triangle $ACG.$ Points $K,$ $E,$ $I$ are midpoints of the sides of triangle $JDG,$ etc. If the dividing and shading process is done $100$ times (the first three are shown) and $AC = CG = 6,$ then the total area of the shaded triangles is nearest
