midpoint of median drawn from vertex A lies on axis of parabola
Source: 2023 South Russian Girls MO - Assara Seniors p7
March 1, 2024
analytic geometryconicsparabolageometry
Problem Statement
A parabola is drawn on the coordinate plane - the graph of a square trinomial. The vertices of triangle lie on this parabola so that the bisector of angle is parallel to the axis . Prove that the midpoint of the median drawn from vertex lies on the axis of the parabola.