Gogeometry Problem 266 dans Euclide Geometry Problem par Harvey Littleman From Gogeometry Using : Pythagoras (1) ΔABC : AC^2+BC^2=c^2 (2) ΔAHC : AC^2 =h^2+n^2 (3) ΔBHC : BC^2=h^2+m^2 c=m+n, c^2=(m+n)^2=m^2+n^2+2mn (1,2,3) h^2+n^2+h^2+m^2=m^2+n^2+2mn 2h^2=2mn Therefore h^2=m.n
