In a squared sheet, draw two triangles of equal areas such that:

(i) The triangles are congruent.

(ii) The triangles are not congruent.

What can you say about their perimeters?

(i) In the first part, we have:

and have the same area

and are congruent to each other

And,

Both the triangles having equal perimeter

(ii) In the second part, we have:

Both the triangles have same height and base

Therefore,

Areas of both the triangles are equal

As,

These triangles are not congruent to each other

The perimeter of both the triangles will be different

8