Răspuns:
Explicație pas cu pas:
[tex]\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)\\\\[/tex]
S(ΔABC) = (AD · BC)/2 = 150k² = 1350
k² = 9 ⇒ k = 3 ⇒ AD = 12 · 3 = 36 cm
