Two similar triangles are equal in area. Prove that the triangles are congruent.

Let’s consider two similar triangles as

   

So,

   

   

So,

   

Since,

   

[Given]

Hence,

   

   

And,

   

So, as the respective sides of two similar triangles are all of same length.

We can conclude that,

   

[By SSS rule]

– Hence Proved