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Question -

In a squared sheet, draw two triangles of equal areas such that:
(i) the triangles are congruent.
(ii) the triangle are not congruent.
What can you say about their perimeters?



Answer -

(i) On the given square sheet, we have draw two congruent triangles i.e.
∆ABC = ∆DEF
 
such that
 
i.e. perimeters of ∆ABC = Perimeter of ∆DEF
(ii) On the other square sheet, we have drawn two triangles ABC and PQR which are not congruent.
Such that
Adding both sides, we get
 
i.e., perimeter of ∆ABC ≠ the perimeter of ∆PQR.

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