Răspuns:
Explicație pas cu pas:
1
a) DC=BC-BD=20-16=4 cm
t catetei
AB²=BDxBC=16×20 AB=8√5 cm
AC²=DCxBC=4×4×5 AC=4√5 cm
ADxBC=AB×AC AD=AB×AC/BC=32×5/20=32/4=8 cm
b) AB=18 cm BC=30 cm
AC²=BC²-AB²=30²-18²=12×48 AC-=24cm
T catetei
AB²=BDxBC 18²=BD×30 BD=324:30=10,8 cm
CD=AC²/BC CD=576/30=19,2 cm
AD=AB×AC/BC=18×24/30=432/30=14,4 cm
c) BD=36 cm AB=60 cm
AB²=BD×BC BC=AB²/BD=60²/36=100 cm
AC=80 cm (6,8 si 10 sunt nr pitagoreice)
CD=BC-BD=100-36=64 cm
AD=AB×AC/BC=60x80/100=48cm
