708 Routh and Ceva theorems
Exercise
1.Calculate the area of trianglePQRgiven(a) λ=μ=ν=2.
(b)λ=1,μ=7,ν=4;
(c) λ=3,μ=7,ν=6.2.Calculate the homogeneous barycentric coordinates of the ortho-
center of triangleABC.Project
In the Routh formula, how should one choose integer values forλ,μ,
andνso that the area of trianglePQRis^1 nof that of triangleABCfor
an integern?