The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. Find the length of the median of the trapezoid.

I certainly couldn't have done this one........but.....here's your answer....

http://math.stackexchange.com/questions/919956/the-diagonals-of-a-trapezoid-are-perpendicular-and-have-lengths-8-and-10-find-t