Question 40
Find the maximum value of the area of a triangle having side lengths $a$, $b$, $c$ with
$$
a^{2}+b^{2}+c^{2}=a^{3}+b^{3}+c^{3}
$$
$$
a^{2}+b^{2}+c^{2}=a^{3}+b^{3}+c^{3}
$$
MathNet 2005 — Part 03 Question 40
Math Olympiad Vault · MathNet 2005 — Part 03