Mathematics - Properties of Triangle Question with Solution | TestHub

Let r>0 be rational. Then side a=2$\sqrt{3r}$, perimeter 3a=6$\sqrt{3r}$ is irrational. Also R=2r is rational; s=3$\sqrt{3r}$ and $\Delta$=rs=3$\sqrt{3r^2}$ are irrational; each exradius $\Delta$/(s-a)=3r is rational. Q85 repeats Q86; retain both.