Editorial for COCI '07 Contest 5 #3 Jabuke

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We are given the formula for the area of a triangle in the problem statement so we only need to find a way to check if a point $P$ ~P~ is inside triangle $ABC$ ~ABC~.

The check can be done in more than one way, one of which only calculates areas of triangles. More precisely, the sum of areas of triangles $ABP$ ~ABP~, $ACP$ ~ACP~ and $BCP$ ~BCP~ is equal to the area of $ABC$ ~ABC~ if and only $P$ ~P~ is inside $ABC$ ~ABC~.

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