Mathematics Olympics Competition Geometry Problem
Geometry
Level
3
\(P\) is a point inside of the triangle \(ABC\). \( MN \parallel AB\), \(ER \parallel CA\), \(DT \parallel CB\). The area of triangles \( t_1, t_2, t_3\) are \(4, 9\) and \(49\). Solve for the area of triangle \(ABC \).
by
Harley Guo