Mathematics - Properties of Triangle Question with Solution | TestHub

The only unordered positive integer triple satisfying a+b+c=8 and strict triangle inequality is (2,3,3). Its semiperimeter s=4 and Heron's area $\Delta$=$\sqrt{4(4-2)(4-3)(4-3)}$=$\sqrt{8}$=2$\sqrt{2}$ $c{m}^2$.