Am,desenat,triunghiul,ABC,cu,baza,BC,pe,orizontala.
Am,dus,inaltimea,AM,notand,piciorul,acesteia,cu,M
Si,s-au,format,doua,triunghiuri,dreptunghice,AMB,si,AMC
In,ΔAMB,dr,avem,m(∡ABM)=45°(ip),m(∡AMB)=90°(AM_l_BC)=>
m(∡MAB)=45°=>ΔAMB,dr.isoscel=>AM=MB=x
Cu,t.Pit.,avem,AM²+MB²=AB²,sau,x²+x²=2=>2x²=2=>x²=1=>x=1
In,ΔAMC,avem,AM,cateta,opusa,unghiului,de,30°=>este,egala,cu,jumatate,
din,ipotenuza,AC.
=>AM=AC/2=>AC=2