Mathematics - Properties of Triangle Question with Solution | TestHub

Let BD=n, CE=n+1, AF=n+2. The sides are 2n+1,2n+3,2n+2, so s=3n+3. Heron's formula gives $r^2$=${\Delta }^2$/$s^2$=n(n+2)/3. With r=4, n(n+2)=48 and n=6, so perimeter 2s=42. This is the corrected-condition counterpart to defective Q61: Q89 explicitly prints "inradius ... 4"; Q61 does not.