Question
The area of △ ABC is 44 cm2 . If D is the
midpoint of BC and E is the midpoint of AB, then the area of △ BDE isSolution
D is the midpoint of BC and E is the midpoint of AB. Let the BE be x cm. AB = 2BE = 2x cm AB 2x 2 BE = x = 1 ∠ Bis common in both triangle. △ ABC ~ △ BDE So, Area of △ AB C / Area of △ BD E = AB / (BE)2 44 / Area of △ BDE = 2/(1)2 44 / Area of △ BDE = 4/(1) Area of △ BDE = 11 cm2
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