triunghiul ABC, m (∡A)=90°
ducem inaltimea AD pe BC si se obtin BD si DC
AB+AC=105
BD/DC=1,(7)=(17-1)/9=16/9 ⇒ BD=16k si DC=9k
AB=√(BD*BC)=√16k*25k =√400k²=20k
AC=√DC*BC=√9k*25k=√225k²=15k
AB+AC=105
20k+15k=105
35k=105
k=3
AB=20k=20*3=60 cm
AC=15k=15*3=45 cm
BC²=AB²+AC²
BC=√(60²+45²)=√(3600+2025)=√5625=75 cm
A= 60×45/2=1350 cm²
P=60+45+75=180 cm
