Art Deco

Geometry Level 5

Given above is \(\Delta(ABC)\) with an area of 60. Points \(A',B'\) and \(C'\) lies on line segments \(BC, AC\) and \(AB\) so that \(AC'=BC'\),\(A'C=2BA'\) and \(B'A=3CB'\). \(AA',BB'\) and \(CC'\) intersect eachother at points \(M,N\) and \(P\). Find the area of \(\Delta(MNP)\).

×

Problem Loading...

Note Loading...

Set Loading...