Question

Use os vértices do triângulo são A(2,-6), B(-4,2) e C(0,4)
A) O Baricentro de um triângulo é o ponto G vale
A) G (0,1)
B)G (-1,1)
C) G(-0,666...,0)
D) G(0,0)

B) a mediana de a ao lado BC Vale aproximadamente
A)6
B) 10
C)4
D)5

Answer 1

$A)\\x_g=\frac{2+(-4)+0}{3}=\frac{-2}{3}\\\\y_g=\frac{-6+2+4}{3}=0\\\\G=(-\frac{2}{3},0)\\\\B)\\A(2,-6)\\BC\rightarrow x_{BC}=\frac{-4}{2}=-2\rightarrow y_{BC}=\frac{6}{2}=3\\BC(-2,3)\\d_{A,BC}=\sqrt{4^2+9^2}=\sqrt{16+9}=\sqrt{25}=5\\\\d_{A,BC}=5$