Question

Em um plano cartesiano, têm-se os pontos A(4, -7), B(9, -3) e C(11, -5). Determine o baricentro desse triângulo
1 ponto
A) (-8, 5/2)
B) (-8, 9/2)
C) (8, -5/2)
D) (8, -9/2)
Nenhuma das respostas anteriores

Answer 1

$\large\boxed{\begin{array}{l}\underline{\sf Baricentro\,de\,um\,tri\hat angulo}\\\rm Dados\,os\,v\acute ertices~A(x_A,y_A),B(x_B,y_B)\,e\,C(x_C,y_C)\\\rm de\,um\,tri\hat angulo\,de~\!\!finimos\,como\,baricentro\\\rm deste\,tri\hat angulo\,o\,ponto\,G(x_G,y_G)~tal\,que\\\rm x_G=\dfrac{x_A+x_B+x_C}{3}~e~~y_G=\dfrac{y_A+y_B+y_C}{3}\end{array}}$

$\large\boxed{\begin{array}{l}\rm A(4,-7)~~B(9,-3)~~C(11,-5)\\\rm x_G=\dfrac{x_A+x_B+x_C}{3}\\\\\rm x_G=\dfrac{4+9+11}{3}=\dfrac{24}{3}=8\\\\\rm y_G=\dfrac{y_A+y_B+y_C}{3}\\\\\rm y_G=\dfrac{-7-3-5}{3}=-\dfrac{15}{3}=-5\\\\\rm G(8,-5)\\\huge\boxed{\boxed{\boxed{\boxed{\rm\dagger\red{\maltese}~\blue{alternativa~E}}}}}\end{array}}$