Prove-that-in-any-triangle-ABC-with-area-F-holds-7-m-a-2-m-b-2-m-c-2-36F-3-cyc-a-m-a-2-

Question Number 171745 by Shrinava last updated on 20/Jun/22

Prove that in any triangle ABC,

with area F holds :

7 (m_{a}^{2} + m_{b}^{2} + m_{c}^{2}) ⩾ 36 F + 3 \sum_{cyc} (a - m_{a}^{2})

Answered by floor(10²Eta[1]) last updated on 20/Jun/22

what is m_{a}, m_{b}, m_{c} ?