Write a function to compute the distance between two points and use it to develop another function that will compute the area of the triangle whose vertices are A(x1, y1), B(x2, y2), and C(x3, y3). Use these functions to develop a function which returns a value 1 if the point (x, y) lines inside the triangle ABC, otherwise a value 0.
To check if point p inside triangle:
Calculate length AB,BC,AC
Then calculate area of triangle APB,APC,BPC
Point P is inside triangle if Area( APB + APC + BPC)=Area triangle ABC
#include maths.h (include the the two arrows)
float geodis(int,int,int,int);
float areat(float,float,float);
int pcheck(int,int,int,int,int,int,int,int,float);
void main()
{
float dis1,dis2,dis3,area;
int a,b,c,d,e,f,g,h,i=0;
printf("\nInput the 3 coordinates x1,y1,x2,y2,x3,y3");
scanf("%d%d%d%d%d%d",&a,&b,&c,&d,&e,&f);
dis1=geodis(a,b,c,d);
dis2=geodis(a,b,e,f);
dis3=geodis(c,d,e,f);
area=areat(dis1,dis2,dis3);
printf("\nThe area of the triangle is %f",area);
printf("\nEnter a point(x,y) to check if it lies in the triangle");
scanf("%d%d",&g,&h);
i=pcheck(a,b,c,d,e,f,g,h,area);
printf("\nThe value of i now is %d",i);
if(i==1)
printf("\nThe point lies inside the triangle");
else
printf("\nThe point lies outside the triangle");
}
float geodis(int x1,int y1,int x2,int y2)
{
float distance,x3,y3;
x3=x2-x1;
y3=y2-y1;
distance=sqrt(pow(x3,2)+pow(y3,2));
return(distance);
}
float areat(float a,float b,float c)
{
float area,s;
s=(a+b+c)/2.0;
area=sqrt(s*(s-a)*(s-b)*(s-c));
return(area);
}
pcheck(int a,int b,int c,int d,int e,int f,int g,int h,float area)
{
float area1,area2,area3;
float dis1,dis2,dis3,dis4,dis5,dis6;
int total;
dis1=geodis(a,b,e,f);
dis2=geodis(c,d,e,f);
dis3=geodis(a,b,c,d);
dis4=geodis(a,b,g,h);
dis5=geodis(e,f,g,h);
dis6=geodis(c,d,g,h);
area1=areat(dis4,dis3,dis6);
area2=areat(dis2,dis5,dis6);
area3=areat(dis1,dis5,dis4);
printf("\nArea in pcheck is %f",area);
printf("\nArea 1,2,3 is %f",area1+area2+area3);
total=area1+area2+area3-area;
printf("\nTotal is %d",total);
if(total==0)
return(1);
else
return(0);
}
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