Răspuns:
16 cm
Explicație pas cu pas:
ΔABC ~ ΔMNP =>
[tex]\frac{AB}{MN} = \frac{BC}{NP} < = > \frac{8}{2} = \frac{BC}{4} \\ BC = \frac{8 \times 4}{2} = \frac{32}{2} = > BC = 16 \: cm[/tex]
4) AB/MN =BC/NP, 8/2 = BC/4
BC = 4*8/2 = 16
5) DC = 50 -8 = 42
AD^2 = BD*DC ( t. inaltimii)
AD^2 = 8*42 = 336 = 2^4*21, AD = 4√21
AB^2 = BD^2 + AD^2 = 64 +336 = 400
AB = 20
