question_answer 1)

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)                              (ii) (i) There can be two congruent triangles whose perimeters are equal. [Actually, two congruent triangles are exact copies of each other.] (ii) The two triangles are not congruent but their perimeters are equal.