Question

o triangulo abc tem vertices a-5,5 b5,0 e baricentro g4,3. determine o vertice c

Answer 1

$\mathrm{V\acute{e}rtices}\ \to\ A=(-5,5),\ B=(5,0),\ C=\mathrm{(p,q)}\\ \mathrm{Baricentro}\ \to\ G=(4,3)\\\\ \mathrm{x_G=\dfrac{x_A+x_B+x_C}{3}\ \to\ 4=\dfrac{-5+5+p}{3}\ \to\ \dfrac{p}{3}=4\ \to\ \boxed{\mathrm{p=12}}}\\\\ \mathrm{y_G=\dfrac{y_A+y_B+y_C}{3}\ \to\ 3=\dfrac{5+0+q}{3}\ \to\ 5+q=9\ \to\ \boxed{\mathrm{q=4}}}\\\\ \boxed{\boxed{\mathbf{C=(12,4)}}}$

Answer 2

espero ter ajudado!

bons estudos ;)