Question Number 195322 by Rupesh123 last updated on 30/Jul/23
Answered by HeferH last updated on 31/Jul/23
$${say}\:{k}\:{is}\:{the}\:{incenter}\:{length} \\ $$$$\:{k}\:=\:\frac{{A}}{{s}} \\ $$$$\:{s}\:=\:\frac{{AB}+{AC}+{BC}}{\mathrm{2}} \\ $$$$\:{A}\:=\:\frac{\mathrm{3}{k}\centerdot{BC}}{\mathrm{2}} \\ $$$$\:\mathrm{1}\:=\:\frac{\mathrm{3}{BC}}{{AB}+{AC}+{BC}} \\ $$$$\:{AB}+{AC}=\:\mathrm{2}{BC} \\ $$$$\:\:\frac{{AB}+{AC}}{{BC}}\:=\:\mathrm{2} \\ $$