The distance between the points $(0, 5)$ and $(-5, 0)$ is

The coordinates of a point dividing the line segment joining $A(8, 10)$ and $B(4, 12)$ from $A$ in the ratio $1:1$ are......

For the triangle with vertices $A (6, 7),$ $B (-2, 3)$ and $C (9, 1),$ find the coordinates of the point on $\overline{BC}$ where the bisector of $\angle A$ intersects $\overline{BC}$.

$AOBC$ is a rectangle whose three vertices are $A (0, 3)$,$O (0, 0)$,and $B (5, 0)$. The length of its diagonal is

The distance between the points $(6, 8)$ and $(3, 4)$ is .........

The distance between the points $A(a+b, b-a)$ and $B(a-b, a+b)$ is............