Question

In triunghiul ABC se considera punctele D € (AB) SI E € (AC) astfel incat DE // BC
a)Daca AB=15 cm ,BC=18 cm, AC=21 CM SI BD=10 CM, CALCULATI AD, AE, EC SIDE.
b)Daca DE=12CM, AB=20 CM, BC=15 CM SI AC=30 CM, CALCULATI AB, DB, AE SI EC
c)Daca AB=16 CM, BC=20 CM, AC=24 CM SI AE=18 CM, CALCULATI AD, DB, EC SI DE
d)Daca AC=6 CM, AD=7 CM, AE=14 CM SI DE=7 CM, CALCULATI EC, DB, AB SI BC.
e)Daca AB=10 CM, AB=6 CM, AE=9 CM SI BC=18 CM, CALCULATI DB, EC, AC SI DE

Answer 1

a)AD=5
AD/AB=AE/AC=DE/BC
5/15=AE/21
AE=7
5/15=DE/8
DE=8/3
EC=14
b)AD/AB=AE/AC=DE/BC
AD/20=12/15
AD=16
AE/30=12/15
AE=24
DB=4
EC=15

C)AD/AB=AE/AC=DE/BC
AD/16=18/24
AD=12
18/24=DE/20
DE=15
DB=4
EC=6

d)aici e gresit, nu are cum sa fie ac=6 si ae=14