Решение задачи Proc 60

#include <bits/stdc++.h>

using namespace std;
double func(double x1, double y1, double x2, double y2, double x3, double y3)
{
    double a = sqrt(pow((x1 - x2),2) + pow((y1 - y2),2));
    double b = sqrt(pow((x1 - x3),2) + pow((y1 - y3),2));
    double c = sqrt(pow((x2 - x3),2) + pow((y2 - y3),2));
    double p = (a + b + c)/2;
    double ha = (2 * sqrt(p * (p - a) * (p - b) * (p - c)))/b;
    double hb = (2 * sqrt(p * (p - a) * (p - b) * (p - c)))/c;
    double hc = (2 * sqrt(p * (p - a) * (p - b) * (p - c)))/a;
    cout << ha << " " << hb << " " << hc <<  endl;
}
int main()
{
    double x1, y1, x2, y2, x3, y3, x4, y4;
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3 >> x4 >> y4;
    func(x1, y1, x2, y2, x3, y3);
    func(x1, y1, x2, y2, x4, y4);
    func(x1, y1, x3, y3, x4, y4);
    return 0;
}

import math
import numpy as np
import random

def Leng(xA, yA, xB, yB):
    d = math.sqrt((xA - xB)**2 + (yA - yB)**2)
    return d

def Perim(xA, yA, xB, yB, xC, yC):
    d_AB = Leng(xA, yA, xB, yB)
    d_AC = Leng(xA, yA, xC, yC)
    d_BC = Leng(xB, yB, xC, yC)
    return d_AB + d_AC + d_BC

def Area(xA, yA, xB, yB, xC, yC):
    d_AB = Leng(xA, yA, xB, yB)
    d_AC = Leng(xA, yA, xC, yC)
    d_BC = Leng(xB, yB, xC, yC)
    p = Perim(xA, yA, xB, yB, xC, yC) / 2
    S = math.sqrt(p*(p-d_AB)*(p-d_AC)*(p-d_BC))
    return S

def Dist(xP, yP, xA, yA, xB, yB):
    S_PAB = Area(xA, yA, xB, yB, xP, yP)
    d_AB = Leng(xA, yA, xB, yB)
    d_P_AB = 2 * S_PAB / d_AB
    return d_P_AB

def Heights(xA, yA, xB, yB, xC, yC):
    h_A = Dist(xA, yA, xB, yB, xC, yC)
    h_B = Dist(xB, yB, xA, yA, xC, yC)
    h_C = Dist(xC, yC, xA, yA, xB, yB)
    return [h_A, h_B, h_C]

    
x1,x2,x3,y1,y2,y3 = list(np.random.choice(range(-10, 11), 6))
##x1,x2,x3,y1,y2,y3 = [0,3,0,0,0,4]
while (x3-x1)*(y2-y1) == (y3-y1)*(x2-x1):
    x1,x2,x3,y1,y2,y3 = list(np.random.choice(range(-10, 11), 6))    

A_x = x1
A_y = y1
B_x = x2
B_y = y2
C_x = x3
C_y = y3

##A_x = 0
##A_y = 0
##B_x = 6
##B_y = 0
##C_x = 3
##C_y = 4

print("Точка A (x, y): ({0},{1})".format(A_x, A_y))
print("Точка B (x, y): ({0},{1})".format(B_x, B_y))

 

print("Точка C (x, y): ({0},{1})".format(C_x, C_y))
hA, hB, hC = Heights(A_x, B_y, B_x, B_y, C_x, C_y)
print("Высота hA: ", hA)
print("Высота hB: ", hB)
print("Высота hC: ", hC)