Draft:Bpow64

A field in the shape of a right triangle is to be subdivided into two fields of equal size by building a straight fence between two sides of the field. If the lengths of the sides of the field are 300 and 400 feet long, respectively, with the hypotenuse being 500 feet long, what is the shortest fence that will do the job and where should the fence be built?

For the more adventurous: Solve the same problem for a right triangular field of arbitrary dimensions.

For the thrill seeker: Solve the same problem for a triangular field of arbitrary shape.

Problem by Alberto L Delgado, from the now extinct Bradley Problem of the Week.