Question Number 45381 by behi83417@gmail.com last updated on 12/Oct/18
Commented by behi83417@gmail.com last updated on 12/Oct/18
$$\angle{ABN}=\angle{NBO}=\angle{OBC}=\frac{\angle{ABC}}{\mathrm{3}} \\ $$$$\angle{BAN}=\angle{NAC},\angle{ACO}=\angle{OCB} \\ $$$${AB}=\mathrm{12},{BC}=\mathrm{8},{AC}=\mathrm{10} \\ $$$${Q}#\mathrm{1}={radius}\:{of}\:{red}\:\:{circle}. \\ $$$${Q}#\mathrm{2}={area}\:{of}\:\:{N}\overset{\lozenge} {{B}OR}. \\ $$$${Q}#\mathrm{3}={length}\:{of}\:{NO}. \\ $$