Proving the theorem (Appolonius) for the triangle ABC where..

[thagamizer]

Prove the theorem (Appolonius) for the triangle ABC where A, B, C are the respective points (-a,0), (a,0), (b,C) on the cartesian plane.

Would i do this using vectors in component form otherwise i have no idea how to do it?

 

[mathwonk]

what does the theorem say?

 

[thagamizer]

a^2 + b^2= 2(1/2 c)^2 + 2d^2

where d is the median intersecting c