Question

Buna! Va rogg ajutati-ma rapiddd ex acesta Dau coroana inima rate de toateeeeeeeeeeeeeee Rezolvare de clasa a saptea Pleaseeee REZOLVARE COMPLETĂ ​

Answer 1

Răspuns:

d) 9 cm

Explicație pas cu pas:

$MN \not||\ BC$

AN = AC - NC = 24 - 18 = 6 cm

$\frac{AM}{AC} = \frac{8}{24} = \frac{1}{3} \\ \frac{AN}{AB} = \frac{6}{18} = \frac{1}{3}$

=>

$\frac{AM}{AC} = \frac{AN}{AB}$

∢MAN ≡ ∢CAB => ΔMAN ~ ΔCAB

=>

$\frac{MN}{BC} = \frac{AN}{AB} = \frac{1}{3} \iff \frac{MN}{27} = \frac{1}{3} \\ MN = \frac{27}{3} \implies MN = 9 \ cm$