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/**
* Author: Isaac
* Date:
* Description: Return incircle radio, area and perimeter of triangle.
* Time: O(1)
*/
double perimeter(double ab, double bc, double ca) {
return ab + bc + ca; }
double area(double ab, double bc, double ca) {
// Heron's formula
double s = 0.5 * perimeter(ab, bc, ca);
return sqrt(s) * sqrt(s - ab) * sqrt(s - bc) * sqrt(s - ca); }
double rInCircle(double ab, double bc, double ca) {
double per = perimeter(ab, bc, ca);
if(per==0) return 0;
return area(ab, bc, ca) / (0.5 * per); }
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