Question 70
Given a fixed triangle $\triangle ABC$ and a point $P$, find the maximum value of
$$
\frac{AB^{2} + BC^{2} + CA^{2}}{PA^{2} + PB^{2} + PC^{2}}
$$
$$
\frac{AB^{2} + BC^{2} + CA^{2}}{PA^{2} + PB^{2} + PC^{2}}
$$
MathNet 2026 — Part 10 Question 70
Math Olympiad Vault · MathNet 2026 — Part 10