All rhombuses are kites

$ABCD$ is a rhombus. $AB$ is produced to  $F$ and $BA$ is produced to $E$ such that $AB=AE=BF$. Then:

The lengths of the diagonals of a rhombus are $16 \mathrm{cm}$ and $12 \mathrm{cm}$ respectively. Find the length of each of its sides.

In the figure, the midpoints of the diagonals of a rhombus are joined to form a small quadrilateral:

Prove that this quadrilateral is a rhombus.

The lengths of the diagonals of a rhombus are $16 \mathrm{cm}$ and $12 \mathrm{cm}$ respectively. The length of each side of the rhombus is 

The diagonals of a rhombus are $16 \mathrm{cm}$ and $12 \mathrm{cm}$. Find the length of each side of the rhombus.

Name the shape of the quadrilateral whose diagonals are not equal but bisect each other at $90°$. (Rectangle/Square/Rhombus)

One angle of a rhombus is $70°$. Find the remaining angles.