Math Problems

[Fat middle]

Originally Posted by Mercutio

Now, theoretically I should be able to solve two equations simaltaneously, and then two others, and then those two answers…yadda yadda yadda… and get (x, y) of the centroid in terms of a, b, and c. But it ain’t happen’ baby.Did I miss something along the way?

As Janny says, the link doesn't work.

Anyway, if I've understand it correctly, as you say, you must solve two equations (RT and QS), then you solve two others (RT and PU) and then the other pair (QS and PU) to be sure that the three lines have the same common point.

All those three systems of two equations have the same solution: x = (a-c)/3; y = b/3 q.e.d.

Another, more correct IMHO, way for proving this would be to prove that the range of the matrix:

-b       (a + 2c)       bc
-2b      (c - a)      (c-a)b
-b       (-c - 2a)       0

is equal to 2. Have you studied matrixes?