Question

Se considera triunghiul MNP si punctele R€(MN) si Q€(NP), astfel incat RQ||MP. Daca:
b) NQ = 7 cm, MR = 10 cm, MN = 24 cm, calculati RN, NP, QP.
c) NQ = 12 cm, QP = 3 cm, MR = 6 cm, calculati RN, MN, NP
d) NR = 8 cm, MR = 6 cm, NQ = 4 cm, calculati MN, QP, NP.

Answer 1

b. RN=24-10=14
NR supra RM= NQ supra QP rezulta ca 14*QP=10*7 de aici rezulta mai departe ca QP= (10*7):14 , QP= 70:14=5
NP=NQ+QP= 7+5= 12
c. RN supra RM = QN supra QP rezulta ca RN*3=6*12, RN= (6*12):3, RN= 72:3, RN=24
MN=RN+RM, MN=24+6=30
NP= NQ+QP=12+3=15
d. MN= NR+RM =8+6=14
NR supra RM=NQ supra QP rezulta ca 8*QP=6*4, QP=(6*4):8, QP= 24:8=3
NP= NQ+QP = 4+3=7 
Sper ca te-am ajutat!