XXgetData.py will read in lines of data formatted like this, with the triangle’s

Question

XXgetData.py will read in lines of data formatted like this, with the triangle’s name and then the six coordinates:   Jamie -2.161 -3.366 2.161 3.366 -5.83 3.743

The data will be placed in a list of three lists:

name=[]

vertices=[]

myList=[name,vertices]

name.append("Billy")

vertices.append([[-2.161,-3.366],[2.161,3.366],[-5.83,3.743]])

name.append("Sally")

vertices.append([[0,4],[0,0],[4,0]])

print(myList)

print()

print("Name: ",name[0])

print("List of vertices: ",vertices[0])

print("Vertex 1: ",vertices[0][0])

print("Vertex 2: ",vertices[0][1])

print("Vertex 3: ",vertices[0][2])

print()

print("Name: ",name[1])

print("List of vertices: ",vertices[1])

print("Vertex 1: ",vertices[1][0])

print("Vertex 2: ",vertices[1][1])

print("Vertex 3: ",vertices[1][2])

Output:

[['Jamie', 'Stacey'], [[[-2.161, -3.366], [2.161, 3.366], [-5.83, 3.743]], [[0, 4], [0, 0], [4, 0]]]]

Name: Jamie

List of vertices: [[-2.161, -3.366], [2.161, 3.366], [-5.83, 3.743]]

Vertex 1: [-2.161, -3.366]

Vertex 2: [2.161, 3.366]

Vertex 3: [-5.83, 3.743]

Name: Stacey

List of vertices: [[0, 4], [0, 0], [4, 0]]

Vertex 1: [0, 4]

Vertex 2: [0, 0]

Vertex 3: [4, 0]

The basic program is to produce output similar to Program 4, but with some variations:

Name and vertices

Perimeter                                                                                All side lengths

Equilateral/Isosceles/Scalene & Acute/Right/Obtuse           Area

For example:

Jordan (-2.161,-3.366),(2.161,3.366),(-5.83,3.743)   

Perimeter: 24.0           Side lengths: 8.0, 8.0, 8.0

Equilateral & Acute       Area: 27.71

The functions should receive a list of three vertices, and each vertex is a list of two values (the X and Y coordinates) rather than six values as the parameters.

[[0, 4], [0, 0], [4, 0]]

and not this

            0, 4, 0, 0, 4, 0

That means that a function call would be something like

if equilateral(vertices[4]):

Explanation / Answer

name=[]
vertices=[]
myList=[name,vertices]

name.append("Billy")
vertices.append([[-2.161,-3.366],[2.161,3.366],[-5.83,3.743]])

name.append("Sally")
vertices.append([[0,4],[0,0],[4,0]])

import math
from math import acos, degrees
def findall(vertices):
tmp_list = vertices
s1 = math.sqrt((tmp_list[1][0]-tmp_list[0][0])**2 + (tmp_list[1][1]-tmp_list[0][1])**2)
s2 = math.sqrt((tmp_list[2][0]-tmp_list[1][0])**2 + (tmp_list[2][1]-tmp_list[1][1])**2)
s3 = math.sqrt((tmp_list[2][0]-tmp_list[0][0])**2 + (tmp_list[2][1]-tmp_list[0][1])**2)
s1 = float(math.ceil(s1))
s2 = float(math.ceil(s2))
s3 = float(math.ceil(s3))
perimeter = s1 + s2 + s3
print("vertices: ",vertices)
print("All edges: ",s1, s2, s3)
print("Perimeter: ", perimeter)
if s1 == s2 == s3:
print("Equilateral")
elif s1 == s2 != s3 or s1 != s2 == s3 or s1 == s3 != s2:
print("Isosceles")
else:
print("Scalane")
a1 = int(degrees(acos((s1 * s1 + s2 * s2 - s3 * s3)/(2.0 * s1 * s2))))
a2 = int(degrees(acos((s2 * s2 + s3 * s3 - s1 * s1)/(2.0 * s2 * s3))))
a3 = int(degrees(acos((s1 * s1 + s3 * s3 - s2 * s2)/(2.0 * s1 * s3))))

if a1 < 90 and a2 < 90 and a3 < 90:
print("Acute")
elif a1 == 90 or a2 == 90 or a3 == 90:
print("right")
elif (a1 > 90 and a2 < 90 and a3 < 90) or (a2 > 90 and a1 < 90 and a3 < 90) or (a3 > 90 and a2 < 90 and a1 < 90):
print("obtuse")
p = perimeter/2
area = math.sqrt(p*(p-s1)*(p-s2)*(p-s3))
print("Area: ", round(area, 2))
  

for i in range(len(vertices)):   
print("name: " , name[i])
findall(vertices[i])

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