Question

In a squared sheet, draw two triangles of equal areas such that the
$\left(i\right)$ the triangle are congruent.
$\left(ii\right)$ the triangle are not congruent.

Answer 1

Picture$1$: Here, $△ABC$ and $△PQR$ have the same area and are congruent to each other also.Also the perimeter of both the triangles will be the same.

Picture$2$:Here, the two triangles have the same height and base.Thus, their areas are equal.However these triangles are not congruent to each other.Also, the perimeter of both the triangles will not be the same.