Bonjour Boarward
[tex]AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\AB=\sqrt{(2+5)^2+(-5-3)^2}\\\\AB=\sqrt{7^2+8^2}\\\\AB=\sqrt{49+64}\\\\\boxed{AB=\sqrt{113}}[/tex]
[tex]AC=\sqrt{(x_C-x_A)^2+(y_C-y_A)^2}\\\\AC=\sqrt{(-13+5)^2+(-4-3)^2}\\\\AC=\sqrt{(-8)^2+(-7)^2}\\\\AC=\sqrt{64+49}\\\\\boxed{AC=\sqrt{113}}[/tex]
[tex]BC=\sqrt{(x_C-x_B)^2+(y_C-y_B)^2}\\\\BC=\sqrt{(-13-2)^2+(-4+5)^2}\\\\BC=\sqrt{(-15)^2+1^2}\\\\BC=\sqrt{225+1}\\\\\boxed{BC=\sqrt{226}}[/tex]
