F - Regular Triangle Inside a Rectangle Editorial by YocyCraft
solution by single formulaWLOG we can assume \(a<b\). Therefore, if \(\frac{b}{a} \ge \frac{2 \sqrt{3}}{3}\), the answer will be \(\frac{2 \sqrt{3}}{3}a\); if \(\frac{b}{a} \lt \frac{2 \sqrt{3}}{3}\), the answer will be \(2 \sqrt{a^{2}+b^{2}-\sqrt{3}ab}\).
posted:
last update: