# Area of triangle constructed from the medians of other triangle

We have triangle ABC of area P. Is it possible to compute the area of a triangle with sides "made" from medians of the triangle ABC in terms of P I'm looking for some hints maybe,

• Where did you see this question? Just to know whether there Is a definite answer – N.S.JOHN May 30 '16 at 17:50
• It't the exact formulation of the problem in my textbook. – user459389452345 May 30 '16 at 17:51
• Hint: If $A,B,C$ are the vertices and $a,b,c$ the opposite sides, extend the median from $A$ through $a$ and intersect it with the line through $B$ parallel to the median out of $C$. You should find a triangle similar to the median triangle. here is a useful discussion. – lulu May 30 '16 at 18:05