# There's not enough information!

Geometry Level 5

Let there exist a triangle $$ABC$$ such that $$AB=26$$, $$BC=28$$ and $$CA = 30$$. Let $$AD$$ be the internal angle bisector from $$A$$ to $$BC$$, intersecting $$BC$$ at $$D$$. Let $$BE$$ be the perpendicular from $$B$$ to $$AD$$, intersecting $$AD$$ at $$E$$. Let $$G$$ be a point on $$BC$$ such that $$EG$$ is parallel to $$AC$$. Find the length of $$DG$$ to 2 decimal places.

×