An architect is hanging a large sign from a triangular shaped ceiling and plans to hang the sign at a point located at the
centroid of the triangle.
A diagram of the triangular ceiling shown by A ABD was used
to determine the point on the ceiling where the sign will be hung,
which will be at point G. The length of one median of the
triangular ceiling, BE, is 45 feet.
What is the distance from one corner of the ceiling, at point B, to
the hanging point of the sign?
Enter your answer in the box.