triangle_area_and_perimeter_with_vertex.py

# for graphics library: https://mcsp.wartburg.edu/zelle/python/graphics.py
import math
import random
import graphics

POINT_MIN = 0
POINT_MAX = 250

WINDOW_WIDTH = 300
WINDOW_HEIGHT = 300

# General Formula: (Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)) / 2
def get_area(v1, v2, v3) : 
    
    area  = v1[0] * (v2[1] - v3[1])
    area += v2[0] * (v3[1] - v1[1])
    area += v3[0] * (v1[1] - v2[1])

    return abs(area) / 2

# General Formula: √((x2−x1)2+(y2−y1)2)
def get_perimeter(v1, v2, v3):

    perimeter  = math.sqrt( (v2[0] - v1[0])**2 + (v2[1] - v1[1])**2 )
    perimeter += math.sqrt( (v3[0] - v2[0])**2 + (v3[1] - v2[1])**2 )
    perimeter += math.sqrt( (v3[0] - v1[0])**2 + (v3[1] - v1[1])**2 )

    return perimeter

# Generate Points
point_A = (random.uniform(POINT_MIN, POINT_MAX), random.uniform(POINT_MIN, POINT_MAX))
point_B = (random.uniform(POINT_MIN, POINT_MAX), random.uniform(POINT_MIN, POINT_MAX))
point_C = (random.uniform(POINT_MIN, POINT_MAX), random.uniform(POINT_MIN, POINT_MAX))

# Calculate Area and Perimeter
area        = get_area(point_A, point_B, point_C)
perimeter   = get_perimeter(point_A, point_B, point_C)

# Print all points and data
print("Point A: ", point_A)
print("Point B: ", point_B)
print("Point C: ", point_C)
print("Area: ", area)
print("Perimeter: ", perimeter)

# Set Configuration for Triangle
win = graphics.GraphWin("Triangle", WINDOW_WIDTH, WINDOW_HEIGHT)
win.setBackground("white")

# Add the (x, y) point to the vertices
triangle_points = [ graphics.Point(point_A[0], point_A[1]), 
                    graphics.Point(point_B[0], point_B[1]), 
                    graphics.Point(point_C[0], point_C[1])
                ]

# Set Polygon
p = graphics.Polygon(triangle_points)
p.setFill('red')
p.draw(win)     # Draw Polygon

win.getMouse()  # Pause to view result
win.close()     # Close window when done