/*Program to check whether the triangle is equilateral, isosceles or scalene.
 *Also prints the area of the triangle
 * Author: rahule@cse.iit.ac.in
 *
 * Created on 13 August, 2010, 11:46 PM
 */

#include <stdio.h>
#include <math.h>


int main()
{
    double a,b,c,s,area;        //variable declaration
    printf("\nEnter the edges of the triangle :");
    scanf("%lf%lf%lf",&a,&b,&c);
    if((a+b)<=c||(a+c)<=b||(b+c)<=a)        //checking whether the triangle is valid or not
        printf("\nThe edges doesnt corresponds to a real traingle");
    else
    {
        if(a==b&&b==c)      //condition for equilateral
            printf("\nThe triangle is equilateral");
        else if(a==b||a==c||b==c)       //condition for isosceles
            printf("\nThe triangle is isosceles");
        else
            printf("\nThe triangle is scalene");        ////condition for scalene
        s=(a+b+c)/2;        //finding S
         area=sqrt(s*(s-a)*(s-b)*(s-c));        //finding the area of a traingle using the formula  area=sqrt(s*(s-a)*(s-b)*(s-c))
        printf("\nThe area of triangle is %lf",area);       //outputting the area
    }

}