Question

Um triângulo ABC de vértices A(5, -2) e B(3, 7) tem baricentro G(2, 3). Determine as coordenadas do vértice C.

Answer 1

Baricentro (G) = (Xg, Yg)
$xg= \frac{xa+xb+xc}{3}$
$2= \frac{5+3+xc}{3}$
$6=8+xc$
$xc = 6 -8 =-2$

$Yg = \frac{ya+yb+yc}{3}$
$3= \frac{-2+3+yc}{3}$
$1+ yc = 9$
$yc = 9 -1 = 8$

C (-2; 8)