cosA=(b^2+c^2-a^2)/2bc,
Because a, b and c are three sides of a triangle, they cannot be negative numbers.
Because 0, that is, (b 2+c 2-a 2)/2bc > 0...* formula.
Multiply both sides of * by 2bc,
So b 2+c 2-a 2 > 0, and then move the
a^2<; b^2+c^2
Proof of the original proposition.
(2) In triangle, it is obtained by cosine theorem.
cosA=(b^2+c^2-a^2)/2bc,
Because a, b and c are three sides of a triangle, they cannot be negative numbers.
And because ∠A is an obtuse angle,
Therefore, COSA < 0, that is, (b 2+c 2-a 2)/2bc < 0...* formula.
Multiply both sides of * by 2bc,
So b 2+c 2-a 2 < 0, and then move the
a^2>; b^2+c^2
Proof of the original proposition