Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2011 Question 95

Math Olympiad Vault · MathNet 2011

Question 95

Inside the square $A B C D$, the equilateral triangle $\triangle A B E$ is constructed. Let $M$ be an interior point of the triangle $\triangle A B E$ such that $M B=\sqrt{2}$, $M C=\sqrt{6}$, $M D=\sqrt{5}$ and $M E=\sqrt{3}$. Find the area of the square $A B C D$.