Răspuns:
b) [tex]8\sqrt{2}[/tex] m²
c) [tex]9\sqrt{3}[/tex] m²
Explicație pas cu pas:
b) [tex]A_{ABC}[/tex] =
[tex]\frac{8 * 4 * \frac{\sqrt{2} }{2} }{2}[/tex] =
[tex]\frac{32*\frac{\sqrt{2} }{2} }{2}[/tex] =
[tex]\frac{16*\sqrt{2} }{2}[/tex] =
[tex]8\sqrt{2}[/tex] m²
c) 180° (suma ∡ intr-un Δ) - 120° (∡ABC) = 60° (utilizam sin. 60°)
[tex]A_{ABC}[/tex] =
[tex]\frac{6*6*\frac{\sqrt{3} }{2} }{2}[/tex] =
[tex]\frac{36*\frac{\sqrt{3} }{2} }{2}[/tex] =
[tex]\frac{18*\sqrt{3} }{2}[/tex] =
[tex]9\sqrt{3}[/tex] m²