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Check whether a given point lies inside a rectangle 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 rectangle formed by A ( x1 , y1 ) , B ( x2 , y2 ) , C ( x3 , y3 ) and D ( x4 , y4 ).
Calculate area of rectangle ABCD.
Calculate area of triangle PAB.
Calculate area of triangle PBC.
Calculate area of triangle PCD.
Calculate area of triangle PAD.
Check if sum of A1 , A2 , A3 and A4 is same as A.
Driver Code.
Let us check whether the point P ( 10 , 15 ) lies inside the rectangle formed by A ( 0 , 10 ) , B ( 10 , 0 ) C ( 0 , - 10 ) D ( - 10 , 0 )"
Solution in Python:

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Write me a code to check whether a given point lies inside a rectangle or not and the other steps required?
assistant
#Here is code to check whether a given point lies inside a rectangle 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 check ( x1 , y1 , x2 , y2 , x3 , y3 , x4 , y4 , x , y ) :
	A = ( area ( x1 , y1 , x2 , y2 , x3 , y3 ) + area ( x1 , y1 , x4 , y4 , x3 , y3 ) )
	A1 = area ( x , y , x1 , y1 , x2 , y2 )
	A2 = area ( x , y , x2 , y2 , x3 , y3 )
	A3 = area ( x , y , x3 , y3 , x4 , y4 )
	A4 = area ( x , y , x1 , y1 , x4 , y4 ) ;
	return ( A == A1 + A2 + A3 + A4 )
if __name__ == ' _ _ main _ _ ' :
	if ( check ( 0 , 10 , 10 , 0 , 0 , - 10 , - 10 , 0 , 10 , 15 ) ) :
		print ( " yes " )
	else :
		print ( " no " )