# Awesome geometry - 3

Geometry Level 4

In parallelogram $$ABCD$$ shown above, $$E$$ is the midpoint of $$BC$$, $$F$$ is the midpoint of $$CD$$. $$G$$ is a point on $$EF$$ such that ratio $$EG : GF$$ equal $$1 : 2$$. If the area of this parallelogram is 776, find Area of triangle $$AEG$$.

×