ΔABC dr. in ∡A si m ∡B = 30° ⇒ cos ∡B = [tex]\frac{BA}{BC}[/tex].
cos 30° = [tex]\frac{12\sqrt{3} }{BC}[/tex] ⇔ [tex]\frac{\sqrt{3} }{2}[/tex] = [tex]\frac{12\sqrt{3} }{BC}[/tex] ⇒ BC = [tex]\frac{2*12\sqrt{3} }{\sqrt{3} }[/tex] = 24 cm.
ΔABC dr. in ∡A si m ∡B = 30° ⇒ AC = [tex]\frac{BC}{2}[/tex] = 12 cm.
AD inaltime in ΔABC dr. ⇒ AD = [tex]\frac{C1*C2}{IP}[/tex] = [tex]\frac{12\sqrt{3}*12 }{24}[/tex] = [tex]6\sqrt{3}[/tex] cm
