Question

Determine as coordenadas do baricentro de um triângulo de vértices: A (1,6) B (2,-4) C (6,7)
XG= 1+2+6=3 /3
YG= 6-4+7=3/3
G=(3,3)
****POR FAVOR PRECISO DISSO PARA HOJE E AGORA*******

Answer 1

Olá!!

Resolução!!

A ( 1, 6 ) , B ( 2, - 4 ) e C ( 6, 7 )

Xg = x1 + x2 + x3/3
Xg = 1 + 2 + 6/3
Xg = 9/3
Xg = 3

Yg = y1 + y2 + y3/3
Yg = 6 + ( - 4 ) + 7/3
Yg = 6 - 4 + 7/3
Yg = 6 + 3/3
Yg = 9/3
Yg = 3

Logo, a coordenada do ponto G do baricendo é ( 3, 3 )

Agora as medianas :

A ( 1, 6 ) , B ( 2, - 4 ) e C ( 6, 7 )

Mab = x1 + x2/2
Mab = 1 + 2/2
Mab = 3/2

Mab = y1 + y2/2
Mab = 6 + ( - 4 )/2
Mab = 6 - 4/2
Mab = 2/2
Mab = 1

( 3/2. 1 ) → Mediana de AB

Mbc = x1 + x2/2
Mbc = 2 + 6/2
Mbc = 8/2
Mbc = 4

Mbc = y1 + y2/2
Mbc = - 4 + 7/2
Mbc = 3/2

M ( 4, 3/2 ) → mediana de BC

Mac = x1 + x2/2
Mac = 1 + 6/2
Mac = 7/2

Mac = y1 + y2/2
Mac = 6 + 7/2
Mac = 13/2

M ( 7/2, 13/2 ) → Mediana de AC

Pronto !

Espero ter ajudado!