Question

Va rog frumos ajutati ma cu ex 2!!!1 URGEENT

Answer 1

Explicație pas cu pas:

a) RQ||MP=>∆RNQ~∆MNP=>(TFA) RN/MN=NQ/NP=> 4/10=NQ/15=>NQ=4•15/10=60/10=6 cm

MN=NR+MR=>MR=10-4=6 cm

NP=NQ+QP=>QP=15-6=9 cm

b) MN=24 cm, MR=10 cm=>RN=14 cm

RQ||MP=>(TFA)NQ/NP=RN/MN=>7/NP=14/24=>NP=(7•24)/14=168/14=12 cm

QP=NP-NQ=12-7=5 cm

c)RQ||MP=>∆RNQ~∆MNP=>(TFA)NR/MN=NQ/NP=>NR/(NR+6)=12/15=>15RN=12RN+36 |-12NR

=>3RN=36=>RN=36/3=12 cm

=>MN=NR+6=18 cm

NP=NQ+QP=12+3=15 cm

d)NR=8 cm, MR=6 cm=> MN=14 cm

RQ||MP=>∆RNQ~∆MNP=>(TFA)NR/MN=NQ/NP=>8/14=4/NP=>NP=(14•4)/8=56/8=7 cm

QP=NP-NQ=>QP=7-4=3 cm