Question

ick the correct answer and justify:
8. 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
​

Answer 1

Answer:

4:1

Step-by-step explanation:

We know both ABC and BDE triangles are equilateral triangles so they both are similar.

D is the mid point of BC so BD = 1/2 BC

so BC/BD = 2/1

So, ratio of sides of triangles ABC and BDE = 2/1

Ratio of areas of triangles ABC and BDE = (2/1)^2 = 4/1 = 4:1 ( ANS)