Question

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 1:2 (B) (C) 4:1 (D) 1:4
​

Answer 1

Answer:

4:1

Step-by-step explanation:

(Should be careful to take each given side accordingly in similar figures)

that is consider an equilateral triangle ABC with side 2a , considering D to be midpoint of BC and E to be midpoint of AB .

Ratio of sides = 2a:a i.e 2:1.

Area = square (Ratio of sides)

=2^2:1^2

=4:1

=