Question

Trapez ABCD

AB // CD

AB > CD

M - ( AD )

N - ( BC ) a.i

DM/AM = 5/8

MN // AB

Daca BC= 39 cm

Calculati NB si NC

Answer 1

ducem DE║BC ⇒ BCDE, CDFN si BEFN sunt paralelograme

DF=CN

EF=BN

thales in ADE ⇒ DM/AM=DF/EF=CN/BN=5/8

CN+BN=39

CN/BN=5/8 ⇒CN/(BN+CN)=5/13 ⇒ CN/39=5/13, CN=15 cm

BN=39-15=24 cm