$A$A$\left(-2,-1\right)$(−2,−1), $B$B$\left(0,0\right)$(0,0) and $C$C$\left(1,k\right)$(1,k) are the vertices of a right-angled triangle with right angle at $B$B.
Find the value of $k$k.
Find the area of the triangle.
Solve problems involving the slope, length, and midpoint of a line segment
Verify, using algebraic techniques and analytic geometry, some characteristics of geometric figures