C++优化代码己知三角形的三边a,b,c,求面积的公式为: p= （a+b+s)/2. S=sqrt（p（p-a）（p-b）（b-c）） class Point private: float x,y public: Point（float a, float b ): x(a）y（b）（） ; float Getx() (return x;} float Gety（)(retun y;)· 题目 1:class trianglel. private Point A,B,C; public float area（）; 求任意三角形 ABC 的面积，其中A(1,2),B(B,3),(3,0.5) 题目 2: class quadrangle{ private Point A, B,C D; public float area（）; } 求任意四边形ABCD的面型的面积，其中A(11)，B(3,4）C（5,2）D（4, 0.5）

题目1的代码实现如下：

#include <iostream>
#include <cmath>

using namespace std;

class Point {
private:
    float x, y;
public:
    Point(float a, float b): x(a), y(b) {}
    float Getx() {return x;}
    float Gety() {return y;}
};

class Triangle {
private:
    Point A, B, C;
public:
    Triangle(Point a, Point b, Point c): A(a), B(b), C(c) {}
    float area() {
        float a = sqrt(pow(B.Getx() - A.Getx(), 2) + pow(B.Gety() - A.Gety(), 2));
        float b = sqrt(pow(C.Getx() - B.Getx(), 2) + pow(C.Gety() - B.Gety(), 2));
        float c = sqrt(pow(A.Getx() - C.Getx(), 2) + pow(A.Gety() - C.Gety(), 2));
        float p = (a + b + c) / 2;
        return sqrt(p * (p - a) * (p - b) * (p - c));
    }
};

int main() {
    Point A(1, 2);
    Point B(3, 4);
    Point C(3, 0.5);
    Triangle tri(A, B, C);
    cout << "Triangle area: " << tri.area() << endl;
    return 0;
}

题目2的代码实现如下：

#include <iostream>
#include <cmath>

using namespace std;

class Point {
private:
    float x, y;
public:
    Point(float a, float b): x(a), y(b) {}
    float Getx() {return x;}
    float Gety() {return y;}
};

class Quadrangle {
private:
    Point A, B, C, D;
public:
    Quadrangle(Point a, Point b, Point c, Point d): A(a), B(b), C(c), D(d) {}
    float area() {
        float a = sqrt(pow(B.Getx() - A.Getx(), 2) + pow(B.Gety() - A.Gety(), 2));
        float b = sqrt(pow(C.Getx() - B.Getx(), 2) + pow(C.Gety() - B.Gety(), 2));
        float c = sqrt(pow(D.Getx() - C.Getx(), 2) + pow(D.Gety() - C.Gety(), 2));
        float d = sqrt(pow(A.Getx() - D.Getx(), 2) + pow(A.Gety() - D.Gety(), 2));
        float p1 = (a + b + d) / 2;
        float p2 = (c + d + b) / 2;
        return sqrt(p1 * (p1 - a) * (p1 - b) * (p1 - d) + p2 * (p2 - c) * (p2 - d) * (p2 - b));
    }
};

int main() {
    Point A(11, 0);
    Point B(3, 4);
    Point C(5, 2);
    Point D(4, 0.5);
    Quadrangle quad(A, B, C, D);
    cout << "Quadrangle area: " << quad.area() << endl;
    return 0;
}