Question

50 de puncte!!!
Se considera triunghiul ABC si punctele D si E,D apartine (AB),E apartine (BC),astfel incat DE||AC.
c)Daca BE=7 cm,AD=10 cm si AB=24 cm,calculati DB,EC si BC.
va rog!!!

Answer 1

a)
bd/ab=be/bc
4/10=be/15=> be=4×15/10=> be=60/10=> be=6
ec=bc-be
ec=15-6
ec=9
ad=ba-bd
ad=10-4
ad=6

b)
bd=ab-da
bd=24-10
bd=14
bd/ab=be/bc
14/24=7/bc
bc=24×7/14=> bc=12
ec=bc-be
ec=12-7
ec=5

Answer 2

BE=7 cm
AD=10cm
AB=24 cm
-------------------------------
DB,EC,BC=?
DE║AC ⇒ din T.Th AB/BD=BC/EB
BD=AB-AD=14 cm
24/14=BC/7
BC=24*7/14=12 cm
BC=EC+EB
12=EC+7
EC=5 cm