Question

In a squared sheet, draw two triangles of equal area such that:
The triangles are congruent.
What can you say about their perimeters?

Answer 1

In a squared sheet, draw $\Delta ABC$ and $\Delta PQR$.
When two triangles have equal areas, these triangles are congruent, i.e., $\Delta ABC$ and $\Delta PQR$ [By SSS congruence rule]. Hence, their perimeters are same because the length of sides of the first triangle is equal to the length of sides of another triangle by SSS congruence rule.