Question 29
Point E lies inside square ABCD so that AED is equilateral. Diagonal AC meets ED at F. If AB=$\sqrt{6}$, how long is EC?
Original printed choices: A) $\sqrt{3}$ − 1; B) 2 − $\sqrt{3}$; C) $\sqrt{2}$ − 1; D) $\sqrt{3}$ − $\sqrt{2}$; E) 1
Editorial task: Derive the exact length and explain whether any printed choice is correct. Identify the error in the source solution.
Original printed choices: A) $\sqrt{3}$ − 1; B) 2 − $\sqrt{3}$; C) $\sqrt{2}$ − 1; D) $\sqrt{3}$ − $\sqrt{2}$; E) 1
Editorial task: Derive the exact length and explain whether any printed choice is correct. Identify the error in the source solution.