Abcd is a square f is the midpoint of ab
Asked by admin @ in Math viewed by 354 People
ABCD is a square. F is the midpoint of AB. BE is one third of BC. If the area of
triangle FBE is 108 cm2 . Find the length of AC.
Answered by admin @
 In square ABCD, let AB = BC = CD = DA = xSince F is midpoint of AB, BF = x/2 Given that BE = (1/3) BC =(x/3) Area of ΔFBE = 108 sq cm Hence AB = BC = CD = DA = 36 cm Recall that diagonal of a square is √2 times its side ⇒ AC = √2AB ∴ AC = 36√2 cm
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