In-a-AB-C-a-b-c-2-h-a-h-b-h-c-a-2-b-2-c-2-6abc-h-a-2-h-b-2-h-c-2-6h-a-h-b-h-c-find-A-

Question Number 75849 by behi83417@gmail.com last updated on 18/Dec/19

In a A \overset{△}{B C} :

{\begin{cases} a + b + c = 2 (h_{a} + h_{b} + h_{c}) \\ a^{2} + b^{2} + c^{2} = 6 abc \\ h_{a}^{2} + h_{b}^{2} + h_{c}^{2} = 6 h_{a} . h_{b} . h_{c} \end{cases}

find : ∡ A