Question

Os vértices de um triângulo são os pontos A= (12; 8), B= (7; 5) e C= (2;-4).
a) Determine o ponto médio do lado AB.
b) Determine o Baricentro deste triângulo.

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{M_{AB}\left(\dfrac{x_A + x_B}{2}\:;\:\dfrac{y_A + y_B}{2}\right)}$

$\mathsf{M_{AB}\left(\dfrac{12 + 7}{2}\:;\:\dfrac{8 + 5}{2}\right)}$

$\boxed{\boxed{\mathsf{M_{AB}\left(\dfrac{19}{2}\:;\:\dfrac{13}{2}\right)}}}$

$\mathsf{G\left(\dfrac{x_A + x_B + x_C}{3}\:;\:\dfrac{y_A + y_B + y_C}{3}\right)}$

$\mathsf{G\left(\dfrac{12 + 7 + 2}{3}\:;\:\dfrac{8 + 5 - 4}{3}\right)}$

$\mathsf{G\left(\dfrac{21}{3}\:;\:\dfrac{9}{3}\right)}$

$\boxed{\boxed{\mathsf{G\left(7\:;\:3\right)}}}$