Prove \overline{AA'}+\overline{BB'}+\overline{CC'}=\overline{0} in Triangle ABC

  • Thread starter Thread starter IL0VEMATH
  • Start date Start date
  • Tags Tags
    Vector
IL0VEMATH
Messages
2
Reaction score
0

Homework Statement



Let A', B', C' be the midpoints of the sides BC, CA, AB of the triangle ABC. Show that \overline{AA'}+\overline{BB'}+\overline{CC'}=\overline{0}
 
Physics news on Phys.org
You need to show some work before anyone here is allowed to provide any help.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top