Mathematics - Properties of Triangle Question with Solution | TestHub

Let $\Delta$=T. Then s-a=T/8,s-b=T/12,s-c=T/24 and their sum is s=T/4. By Heron's formula $T^2$=s(s-a)(s-b)(s-c)=T⁴/9216, hence T=96. Thus b=s-(s-b)=T/4-T/12=T/6=16.