0%

# Problem 513

Integral median

ABC is an integral sided triangle with sides a≤b≤c.
mc is the median connecting C and the midpoint of AB.
F(n) is the number of such triangles with c≤n for which mc has integral length as well.
F(10)=3 and F(50)=165.

Find F(100000).

mc是连接C与AB边中点的中线。