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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?

Answer

(i) the triangles are congruent


sq. units

sq. units


Thus, triangles are of equal areas and are congruent.

Perimeter:

As

By CPCT


Adding all the above 3, we get,


Perimeter of = Perimeter of

Thus, perimeters of congruent triangles are also equal.

(ii) the triangles are not congruent


sq. units

sq. units


Thus, triangles are of equal areas and are congruent.

Perimeter:

Perimeter of = Perimeter of

Thus, perimeters of  triangles are not equal.

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