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Tick the correct answer and justify:ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of the areas of triangles ABC and BDE is
(A) 2:1 (B) 1:2 (C) 4:1 (D) 1:4

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To solve the problem of finding the ratio of the areas of triangles ABC and BDE, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Triangles**: We have two equilateral triangles, ABC and BDE, with D being the midpoint of side BC of triangle ABC. 2. **Understand the Properties of Equilateral Triangles**: In an equilateral triangle, all sides are equal, and all angles are 60 degrees. ...
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