Let-ABC-be-a-triangle-and-h-a-the-altitude-through-A-Prove-that-b-c-2-a-2-4h-a-2-As-usual-a-b-c-denote-the-sides-BC-CA-AB-respectively-

Question Number 22079 by Tinkutara last updated on 10/Oct/17

Let A B C be a triangle and h_{a} the

altitude through A . Prove that

{(b + c)}^{2} ⩾ a^{2} + 4 h_{a}^{2} .

(As usual a, b, c denote the sides B C,

C A, A B respectively .)

Commented by ajfour last updated on 11/Oct/17

s o l v e d . S e e Q . 22116

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