Question

Ex 4 repede dau coroana!

Answer 1

Răspuns:

Explicație pas cu pas:

$\frac{BD}{9} =\frac{CD}{16} =\frac{BD+CD}{9+16} =\frac{BC}{25} =k\\\\ BD=9k,CD=16k,BC=25k\\AD=\sqrt{BDxDC}=12k (th.inaltimii)$

S(ΔABC) = (AD · BC)/2 = 150k² = 1350

k² = 9 ⇒ k = 3 ⇒  AD = 12 · 3 = 36 cm