Question:

Problem 3. Let ABC be a triangle. Let C' be the midpoint of

Last updated: 8/5/2022

Problem 3. Let ABC be a triangle. Let C' be the midpoint of

Problem 3. Let ABC be a triangle. Let C' be the midpoint of the side AB. Let A' be a point on the side BC such that CA' = 2A'B. Let B' be a point on the line AC such that CB' = 4CA. Let M be the point of intersection of the line A'B' and the line CC'. Does the point M belong to segment CC? Find the ratio of CM: MC'.