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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

Text Solution

Verified by Experts

`/_ABC ~ /_BDE`
because both the triangles are equilateral triangle.
`(area(ABC))/(area(BDC))=((BC)/(BD))^2=2^2=4`
so they are in 4:1 ratio
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