Question

dados os vértices de um triângulo ABC determine no caderno as coordenadas do seu baricentro.
a) A(0,-3), B(-7,-1) e c (-2,2)
b) A (-2,5), B (1,8) e C (1,5)
c) A ( 6, 1/2) B ( 8,-5/2) e C ( 1,-4)
????

Answer 1

Bom dia

O baricentro é dado por :

$x_{G} = \dfrac{ x_{A}+ x_{B} + x_{C} }{3} \quad\quad e \quad\quad y_{G} = \dfrac{ y_{A}+ y_{B} + y_{C} }{3}$

Aplicando temos :

$a)\quad x_{G} = \frac{0-7-2}{3} = \frac{-9}{3} =-3\quad e\quad y_{G}= \frac{-3-1+2}{3} =- \frac{2}{3} \\ \\ b)\quad x_{G} = \frac{-2+1+1}{3} = \frac{0}{3} =0\quad e\quad y_{G}= \frac{5+8+5}{3} = \frac{18}{3}=6 \\ \\ c) \quad x_{G} = \frac{6+8+1}{3} = \frac{15}{3} =5\quad e\quad y_{G}= \frac{ \frac{1}{2}- \frac{5}{2}-4}{3} = \frac{-2-4}{3}=-2$