Răspunsuri

2014-06-11T16:16:28+03:00
Deoarece MN||BC inseamna ca ΔABC~ΔAMN  cu Thales avem
AM/MB=AN/NC=MN/BC
a)AB=AM+MB
MB=12-5=7cm
5/7=AN/4
AN=20/7cm
AC=AN+NC=20/7+4=48/4=12 cm

b).
AM/MB=AN/NC
AN=AC-NC=28-12=16 dm
AM/6=16/12
AM=6.4/3=8 dm
AB=AM+MB=8+6=14 dm

c)AM/MB=AN/NC
MB=AB-AM=5,4-3=2,4 cm
3/2,4=(AC_NC)/NC
3/2,4=(7,2-NC)/NC
5,4NC=17,28
NC=3,2 cm
AN=AC-NC=7,2-3,2=4 cm

d)AM/MB=AN/NC
√3/√2=AN/√6
AN=3 cm
AC=AN+NC=3+√6 cm