$A$`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`.

a

Find the value of $k$`k`.

b

Find the area of the triangle.

Easy

Approx 9 minutes

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Solve problems involving the slope, length, and midpoint of a line segment

Verify, using algebraic techniques and analytic geometry, some characteristics of geometric figures