$A$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.
Apply co-ordinate geometry techniques to points and lines
Form and use linear, quadratic, and simple trigonometric equations
Apply co-ordinate geometry methods in solving problems
Apply algebraic methods in solving problems