Răspuns:
Explicație pas cu pas:
a)folosim Teorema lui Thales: daca DE║AC ⇒AD/AB=EC/BC
AD=AB-BD=28-16=12 cm
12/28=9/BC ⇒BC=28×9/12=21 cm
BE=BC=EC=21-9=12 cm
b)AD=6 cm; AB=16 cm; EC=9 cm
AD/AB=EC/BC 6/16=9/BC BC=16×9/6==24 cm
BD=AB-AD=16-6=10 cm
BE=BC-EC=24-9=15 cm
c) AB=35 cm;BD=20 cm; BE=8 cm
BD/AB=BE/BC 20/35=8/BC BC=35×8/20=14 cm
AD=AB-BD=35-20=15 cm
EC=BC-EC=14-8=6 cm
d)AB=24 cm; AD=18 cm; EC=12 cm
AD/AB=EC/BC 18/24=12/BC BC=24×12/18=16 cm
BD=AB-AD=24-18=6 cm
BE=BC-EC=16-12=4 cm
