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
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