设计一个名为Triangle的类，扩展了GeometricObject。类包含以下内容: 命名为sidel, side2和side3的三个双数据字段表示三角形的三条边。 一个无参数构造函数，它创建一个默认三角形，每条边为1.0。一个构造函数，用于创建具有指定的sidel、side2和side3的三角形。 常量访问器用于所有三个数据字段。 一个名为getArea()的常量函数，它返回三角形的面积。一个名为getPerimeter()的常量函数，它返回三角形的周长。绘制涉及类三角形和几何对象的UML图。实现类。编写一个测试程序，提示用户输入三角形的三条边，输入颜色，并输入1或0以指示三角形是否填充。程序应创建具有这些边的三角形对象，并使用输入设置颜色和填充属性。程序应显示面积、周长、颜色和true或false，以指示是否填充。利用c++编译

以下是Triangle类的头文件： ```cpp #ifndef TRIANGLE_H #define TRIANGLE_H #include "GeometricObject.h" class Triangle : public GeometricObject { public: Triangle(); Triangle(double side1, double side2, double side3); double getSide1() const; double getSide2() const; double getSide3() const; double getArea() const; double getPerimeter() const; private: double side1, side2, side3; }; #endif ``` 以下是Triangle类的实现文件： ```cpp #include "Triangle.h" #include <cmath> Triangle::Triangle() { side1 = side2 = side3 = 1.0; } Triangle::Triangle(double side1, double side2, double side3) { this->side1 = side1; this->side2 = side2; this->side3 = side3; } double Triangle::getSide1() const { return side1; } double Triangle::getSide2() const { return side2; } double Triangle::getSide3() const { return side3; } double Triangle::getArea() const { double s = getPerimeter() / 2; return std::sqrt(s * (s - side1) * (s - side2) * (s - side3)); } double Triangle::getPerimeter() const { return side1 + side2 + side3; } ``` 测试程序： ```cpp #include <iostream> #include "Triangle.h" using namespace std; int main() { double side1, side2, side3; string color; int filled; cout << "Enter three sides of the triangle: "; cin >> side1 >> side2 >> side3; cout << "Enter the color of the triangle: "; cin >> color; cout << "Enter 1 for filled, 0 for not filled: "; cin >> filled; Triangle t(side1, side2, side3); t.setColor(color); t.setFilled(filled == 1); cout << "Area of the triangle is " << t.getArea() << endl; cout << "Perimeter of the triangle is " << t.getPerimeter() << endl; cout << "Color of the triangle is " << t.getColor() << endl; cout << "Is the triangle filled? " << (t.isFilled() ? "true" : "false") << endl; return 0; } ``` UML图： ``` +--------------------------+ | GeometricObject | |--------------------------| | -color: string | | -filled: bool | |--------------------------| | +GeometricObject() | | +GeometricObject(color: string, filled: bool) | | +getColor(): string | | +setColor(color: string): void | | +isFilled(): bool | | +setFilled(filled: bool): void | +--------------------------+ ^ | | +--------------------------+ | Triangle | |--------------------------| | -side1: double | | -side2: double | | -side3: double | |--------------------------| | +Triangle() | | +Triangle(side1: double, side2: double, side3: double) | | +getSide1(): double | | +getSide2(): double | | +getSide3(): double | | +getArea(): double | | +getPerimeter(): double | +--------------------------+ ```