The formula is part b is not clear in the pic.
Considering the formula is r= (a+b+c)/(2*tan(y/2)) following is the solution
a = 200;
b= 250;
c=300;
y=acosd((-(c^2)+(a^2)+(b^2))/(2*a*b));
disp("The angle Phi by law of cosine is"+y);
r=(a+b+c)/(2*tan(y/2))
disp("The radius as calculated from first equation is"+ r)
s=(a+b+c)/2;
l=s*(s-a)*(s-b)*(s-c);
z=sqrt(l);
r2=z/s;
disp("The radius as calculated from second equation is"+ r2)
Considering the formula is r=((a+b+c)/2)*tan(y2/2) following is the solution
a = 200;
b= 250;
c=300;
y=acosd((-(c^2)+(a^2)+(b^2))/(2*a*b));
disp("The angle Phi by law of cosine is"+y);
r=((a+b+c)/2)*tan(y/2);
disp("The radius as calculated from first equation is"+ r)
s=(a+b+c)/2;
l=s*(s-a)*(s-b)*(s-c);
z=sqrt(l);
r2=z/s;
disp("The radius as calculated from second equation is"+
r2)
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