$(0, 0), (3.1, 0)$ and $(0, 4.5)$ are the vertices of $\ldots \ldots \ldots \ldots$ triangle.

$A (h, k), B (1, 1)$ and $C (2, 1)$ are the vertices of $\Delta ABC$. If the area of $\Delta ABC$ is $1$,then find the possible values of $k$.

$P$ 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:

For points $A(1, 7)$,$B(2, 4)$,and $C(k, 5)$,if $\angle A = 90^\circ$,then find the value of $k$.

In what ratio does the $x$-axis divide the line segment joining the points $(-4, -6)$ and $(-1, 7)$? Find the coordinates of the point of division.

The area of a triangle with vertices $A (3,0), B (7,0)$ and $C (8,4)$ is