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ax + bx = -4

bx + cx = 10

ax + cx = 4

2ax + 10 = 0

ax = -5

bx = 1

cx = 9

ay + by = 2

by + cy = 4

ay + cy = 6

2ay + 4 = 8

2ay = 4

ay = 2

by = 0

cy = 4

A(-5, 2), B(1, 0), C(9, 4)

pronto

Pontos:

AB,AC,BC

AB(xa+xb/2,ya+yb/2)

xa+xb/2=-2 => xa+xb=-4

ya+yb/2=1 => ya+yb=2

....................

AC=(xa+xc/2,ya+yc/2)

xa+xc/2=5 => xa+xc=10

ya+yc/2=2 => ya+yc=4

....................

BC=(xb+xc/2,yb+yc/2) =>

xb+xc/2=2 => xb+xc=4

yb+yc/2=3 => yb+yc=6

Sistema:

xa+xb=-4

ya+yb=2

xa+xc=10

ya+yc=4

xb+xc=4

yb+yc=6

=========

xa+xb=-4

xa+xc=10

xb+xc=4

xb=-4-xa

xb+xc=4 ===> -4-xa+xc=4 ==> -xa+xc=8 => xa-xc=-8

xa+xc=10

xa-xc=-8

-----------------

2xa=2 ==> xa=1

xb=-4-xa => xb=-4-1 => xb=-5

xb+xc=4

-5+xc=4 ==> xc=9

.........................

ya+yb=2

ya+yc=4

yb+yc=6

ya=2-yb

2-yb+yc=4

-yb+yc=2 => yb-yc=-2

yb+yc=6

yb-yc=-2

------------

2yb=4 ==> yb=2

yb+yc=6 ==> 2+yc=6 ==> yc=4

ya=2-yb

ya=0

Resposta:

A(1,0) B(-5,2) C(9,4)

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