Triangle midpoints

Determine coordinates of triangle ABC vertices if we know tirangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC.

Correct result:

Ax =  3
Ay =  2
Bx =  -3
By =  4
Cx =  5
Cy =  8

Solution:


(a+c)/2=0
(b+d)/2=3
(c+f)/2=1
(d+g)/2=6
(a+f)/2=4
(b+g)/2=5

a+c = 0
b+d = 6
c+f = 2
d+g = 12
a+f = 8
b+g = 10

a = 3
b = 2
c = -3
d = 4
f = 5
g = 8

Our linear equations calculator calculates it.



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