Question 49
Find all pairs of real numbers $k, l$ such that the inequality
$$
ka^2 + lb^2 \gt c^2
$$
holds for side lengths $a, b, c$ of any triangle.
$$
ka^2 + lb^2 \gt c^2
$$
holds for side lengths $a, b, c$ of any triangle.
MathNet 2017-part-02 — 176 problems (EN–VI) Question 49
Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)