ABCD is a square. X is the mid-point of AB. Y is a point on BC such that \(BY=\frac{1}{3}BC.\). If the area of ΔBXY is equal to 300 cm^2, find length of diagonal AC.

Show answer & explanation

Answer: (D) 60√2 cm

Explanation

Area of BXY = ½ × (s/2) × (s/3) = s²/12 = 300, so s² = 3600 and s = 60 cm. Diagonal = 60√2 cm.