If the points are $(12, 10)$ and $(0, 8)$,then the midpoint of the line segment joining these two points is $\ldots \ldots \ldots \ldots$

The area of a triangle having vertices $A(0,0), B(4,0)$ and $C(0,6)$ is:

$P$ is a point on $\overline{AB}$ such that $A - P - B$. $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ are the given points. If point $P$ divides $\overline{AB}$ from $A$ in the ratio $m : n$ (where $\frac{m}{n} > 0$),then the coordinates of $P$ are:

The distance between the points $A(0, 6)$ and $B(0, -2)$ is

If the area of a triangle with vertices $(a, 5), (6, 7)$ and $(2, 3)$ is $10$ square units,then $a = \dots$ (where $a \in N$).

If the points $A(1, -2)$,$B(2, 3)$,$C(a, 2)$,and $D(-4, -3)$ form a parallelogram,find the value of $a$ and the height of the parallelogram taking $AB$ as the base.