In triangle ABC the medians AM and CN to sides BC and AB, respectively intersect in point O. P is the midpoint of side AC and MP intersects CN in Q. If the area of triangle OMQ is n, then the area of triangle ABC is?
Solution
In area triangle COM = 1/2 triangle COB = 1/2 * 1/3 triangle ABC = 1/6 triangle ABC = triangle CQM + n = 1/8 triangle ABC + n
1/6 triangle ABC = 1/8 triangle ABC + n
n = 1/24 triangle ABC
triangle ABC = 24N
