Mathematics - Properties of Triangle Question with Solution | TestHub

Let r_1=k, r_2=k/2, r_3=k/3; then 1/r=1/r_1+1/r_2+1/r_3=6/k. Therefore a/$\Delta$=1/r-1/r_1=5/k, b/$\Delta$=4/k, c/$\Delta$=3/k. Thus a:b:c=5:4:3 and a/b+b/c+c/a=5/4+4/3+3/5=191/60.