Three Subtriangles of a Triangle
Three Subtriangles of a Triangle
A cevian is a line drawn from a vertex of a triangle to the opposite side.
Let ABC be a triangle. Let BB' and CC' be cevians. Let M and N be the midpoints of BB' and CC' respectively. Let R and S be the points of intersection of AM and AN with C'B'. Then .
area(C'MA)==area(B'NA)
area(AC'B')
2