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Check whether a given point lies inside a triangle or not | A utility function to calculate area of triangle formed by ( x1 , y1 ) , ( x2 , y2 ) and ( x3 , y3 ).
A function to check whether point P ( x , y ) lies inside the triangle formed by A ( x1 , y1 ) , B ( x2 , y2 ) and C ( x3 , y3 ).
Calculate area of triangle ABC.
Calculate area of triangle PBC.
Calculate area of triangle PAC.
Calculate area of triangle PAB.
Check if sum of A1 , A2 and A3 is same as A.
Let us check whether the point P ( 10 , 15 ) lies inside the triangle formed by A ( 0 , 0 ) , B ( 20 , 0 ) and C ( 10 , 30 )"
How can the above be solved in Python?

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What is a code to check whether a given point lies inside a triangle or not and the other steps required?
assistant
#Here is code to check whether a given point lies inside a triangle or not and the other steps required.
 def area ( x1 , y1 , x2 , y2 , x3 , y3 ) :
	return abs ( ( x1 * ( y2 - y3 ) + x2 * ( y3 - y1 ) + x3 * ( y1 - y2 ) ) / 2.0 )
def isInside ( x1 , y1 , x2 , y2 , x3 , y3 , x , y ) :
	A = area ( x1 , y1 , x2 , y2 , x3 , y3 )
	A1 = area ( x , y , x2 , y2 , x3 , y3 )
	A2 = area ( x1 , y1 , x , y , x3 , y3 )
	A3 = area ( x1 , y1 , x2 , y2 , x , y )
	if ( A == A1 + A2 + A3 ) :
		return True
	else :
		return False
if ( isInside ( 0 , 0 , 20 , 0 , 10 , 30 , 10 , 15 ) ) :
	print ( ' Inside ' )
else :
	print ( ' Not ▁ Inside ' )