3 Question 3 . For two points u and v, the distance d between them is given as f

Question

3 Question 3 . For two points u and v, the distance d between them is given as follows. Write a function distance to calculate the distance between two PointXY objects. double distance(const PointXY u, conat PointXY kv): . Write a function "area.perimeter" to calculate the area and perimeter given an input vector of three points. The three points form a triangle. . Your function should enable the program below to compile and run correctly // #include relevant headers using namespace std; // class declaration and functions int main) int n 3; vector v (n); // set x,y coordinates double area, perineter: area_periseter (v, area, perineter); area periseter(v, area, perineter); // function call // call twice why not cout

Explanation / Answer

#include <iostream>
#include <vector>
#include <cmath>
using namespace std;

class PointXY // class with public x and y coordinates of a Point
{
public:
int x,y;
};

double distance(const PointXY &u,const PointXY &v) // reference arguments
{
return sqrt((u.x - v.x)* (u.x - v.x)+ (u.y - v.y)*(u.y - v.y));
}
void area_perimeter(vector<PointXY> &v,double &area,double &perimeter)
{
double a = distance(v[0],v[1]);
double b = distance(v[1],v[2]);
double c = distance(v[2],v[0]);

perimeter = a+b+c;
double s = perimeter/2.0;
area = sqrt(s*(s-a)*(s-b)*(s-c));



}

int main() {

int n = 3;
vector<PointXY> v(n);

// set x,y coordinates;

v[0].x = 3.5;
v[0].y = 0.4;

v[1].x = 7.2;
v[1].y = 0.6;

v[2].x = 4.1;
v[2].y = 5.6;

double area,perimeter;


area_perimeter(v,area,perimeter);

cout<<"area "<<area<<endl;
cout<<"perimeter "<<perimeter<<endl;

return 0;
}

Output:

area 10
perimeter 14.93

Do ask if any doubt. Please upvote.

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