The midpoint of the line segment joining $(1, 1)$ and $(3, 3)$ is:

The coordinates of the midpoint of the line segment joining the points $(20, 10)$ and $(6, 8)$ are:

If $A(2, 9)$,$B(-2, 1)$,and $C(6, 3)$ are vertices of a triangle and the area of $\Delta ABC$ is $28$,find the length of the altitude drawn from $A$ to the side $\overline{BC}$.

Find the ratio in which the point $P \left(\frac{3}{4}, \frac{5}{12}\right)$ divides the line segment joining the points $A \left(\frac{1}{2}, \frac{3}{2}\right)$ and $B(2, -5)$. (in $: 5$)

Prove that the points $A(1, 1)$,$B(4, 4)$,and $C(6, 2)$ are the vertices of a right-angled triangle.

Using the distance formula,show that the points $(0, -3), (1, -1),$ and $(2, 1)$ are collinear.