In Python 2.7 An arbitrary triangle can be described by the coordinates of its t

Question

In Python 2.7

An arbitrary triangle can be described by the coordinates of its three vertices: (x1, y1), (x2,y2), and (x3, y3), numbered in a counter-clockwise direction. The area of the triangle is given by the formula

A= (1/2)*abs(x2*y3 - x3*y2 - x1*y3 + x3*y1 + x1*y2 - x2*y1)

Write a function area(vertices) that returns the area of the triangle whose vertices are specifed by the argument "vertices," which is a nested list of the vertex coordinates. For example, "vertices" can be [[0,0],[1,0],[0,2]] if the three coordinates of the triangle have coordinates (0,0), (1,0), and (0,2). Test the area function with known area.

Test your function with the following statement:

area([[0,0],[1,0],[0,2]])

Explanation / Answer

Below are function area to find area of triangle .

# A function to calculate area of triangle .

def areaOfTriangle(X1,X2,Y1,Y2,Z1,Z2 ):

area = (1/2)*abs(x2*y3 - x3*y2 - x1*y3 + x3*y1 + x1*y2 - x2*y1)   

return area

# Main execution area of your program.

# Ask user for base and height, store in variable.

# The numbers entered are still just keyboard characters

# We need to cast them to floats (numbers with decimal points)

X1 = float( X1)

X2 = float( X2)

Y1 = float( Y1)

Y2 = float( Y2)

Z1 = float( Z1)

Z2 = float( Z2)

# Pass our variables to the function

print 'Area of triangle is', areaOfTriangle(X1,X2,Y1,Y2,Z1,Z2)

# We can also store the return value in a variable

# and use it however we want.

area = areaOfTriangle(X1,X2,Y1,Y2,Z1,Z2)

print 'The area of the triangle is', area

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