Leiame kõikide külgede pikkused:

$$\vec{AB} = B - A = (3; 1) - (2; -4) = (1; 5)$$ $$C = A + \vec{AC} = (2; -4) + (6; -2) = (8; -6)$$ $$\vec{BC} = C - B = (8; -6) - (3; 1) = (5; -7)$$ $$\vert{\vec{AB}}\vert = \sqrt{1^2 + 5^2} = \sqrt{26}$$ $$\vert{\vec{AC}}\vert = \sqrt{6^2 + (-2)^2} = \sqrt{40}$$ $$\vert{\vec{BC}}\vert = \sqrt{5^2 + (-7)^2} = \sqrt{74}$$

Leiame kolmnurga pindala Heroni valemi abil:

$$S = \sqrt{p(p-a)(p-b)(p-c)}$$ $$p = \frac{a + b + c}{2}$$ $$p = \frac{\sqrt{26} + \sqrt{40} + \sqrt{74}}{2}$$ $$S = 16$$

Leiame siseringi pindala:

$$r = \frac{S}{p}$$ $$r = \frac{16}{\frac{\sqrt{26} + \sqrt{40} + \sqrt{74}}{2}}$$ $$r = \frac{32}{\sqrt{26} + \sqrt{40} + \sqrt{74}}$$ $$r \approx 1.6$$ $$S = \pi r^2$$ $$S \approx 8$$

Leiame kolmnurga ümbermõõdu:

$$P = a + b + c$$ $$P = \sqrt{26} + \sqrt{40} + \sqrt{74}$$ $$P = 2\sqrt{26} + \sqrt{40} + \sqrt{74}$$ $$P \approx 20$$

Leiame kõik kolmnurga nurgad:

$$S = \frac{1}{2}ab\sin{C}$$ $$\sin{\alpha} = \frac{2S}{ab}$$ $$\alpha = \arcsin{\frac{2S}{ab}}$$ $$\alpha \approx 46.85^\circ$$ $$\beta \approx 36.03^\circ$$ $$\gamma = 180^\circ - \alpha - \beta$$ $$\gamma \approx 97.12^\circ$$