In-ABC-the-following-relationship-holds-a-3-b-3-c-3-h-a-3-h-b-3-h-c-3-5832-3-r-6-

Question Number 173426 by Shrinava last updated on 11/Jul/22

In △ ABC the following relationship

holds :

(a^{3} + b^{3} + c^{3}) (h_{a}^{3} + h_{b}^{3} + h_{c}^{3}) ⩾ 5832 \sqrt{3} r^{6}