I am unable to solve the following problem on Triangles

I was unaware about the fact that big book questions were not allowed in this forum and will take this down.

That isn’t the case - see the above link.

To clarify, can you share with us more about your approach to the problem and what you don’t quite get?

1 Like

Sure, i am able to arrive at the answer by assuming 2 things

- ∆’s ADF & ABC are similar and ∆’s EFC and ABC are similar
- ∆ ABC is equilateral

Then assigning numbers helps arrive at the answer, however, i am unable to *justify* my assumptions since :

- There is only one angle common in the two sets of similar triangles listed above ( ∠A & ∠C respectively) and no mention of EC ∥ DF(for adf & abc) and EF ∥ AD(for efc & abc).
- Unable to justify this assumption entirely.