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：

#include <cmath>

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(A.Getx()-B.Getx(), 2) + pow(A.Gety()-B.Gety(), 2));
        float b = sqrt(pow(B.Getx()-C.Getx(), 2) + pow(B.Gety()-C.Gety(), 2));
        float c = sqrt(pow(C.Getx()-A.Getx(), 2) + pow(C.Gety()-A.Gety(), 2));
        float p = (a + b + c) / 2;
        return sqrt(p * (p-a) * (p-b) * (p-c));
    }
};

int main() {
    Point A(1, 2), B(3, 4), C(3, 0.5);
    Triangle t(A, B, C);
    float area = t.area();
    return 0;
}

题目2：

#include <cmath>

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 ab = sqrt(pow(A.Getx()-B.Getx(), 2) + pow(A.Gety()-B.Gety(), 2));
        float bc = sqrt(pow(B.Getx()-C.Getx(), 2) + pow(B.Gety()-C.Gety(), 2));
        float cd = sqrt(pow(C.Getx()-D.Getx(), 2) + pow(C.Gety()-D.Gety(), 2));
        float da = sqrt(pow(D.Getx()-A.Getx(), 2) + pow(D.Gety()-A.Gety(), 2));
        float ac = sqrt(pow(A.Getx()-C.Getx(), 2) + pow(A.Gety()-C.Gety(), 2));

        float p1 = (ab + bc + ac) / 2;
        float p2 = (cd + da + ac) / 2;

        float s1 = sqrt(p1 * (p1-ab) * (p1-bc) * (p1-ac));
        float s2 = sqrt(p2 * (p2-cd) * (p2-da) * (p2-ac));

        return s1 + s2;
    }
};

int main() {
    Point A(11, 0), B(3, 4), C(5, 2), D(4, 0.5);
    Quadrangle q(A, B, C, D);
    float area = q.area();
    return 0;
}