The area of square A B C D is 196 \mathrm{~cm}^{2}. Point E is inside the square, at the same distances from points D and C, and such that \angle D E C=150^{\circ}. What is the perimeter of \triangle A B E equal to? Prove your answer is correct.
The area of square A B C D is 196 \mathrm{~cm}^{2}. Point E is inside the square, at the same distances from points D and C, and such that \angle D E C=150^{\circ}. What is the perimeter of \triangle A B E equal to? Prove your answer is correct.