Solve the following graphing and area problems on the provided grid. On the grid below, use a scale

Question

Solve the following graphing and area problems on the provided grid. On the grid below, use a scale of $1$ cm as $1$ unit to plot the points $A (2, 5)$, $B (-2, 0)$ and $C (1, 0)$. Hence, find the area of $\Delta ABC$, giving your answers in unit$^2$. Another point $D$ lies on the $x$-axis. Given that the area of $\Delta ACD$ is $5$ unit$^2$, find all the possible coordinates of $D$.

Accepted Answer

(i) $7.5\text{ units}^2$ (ii) $D=(-1,0)$ or $D=(3,0)$

Basics of Coordinate Geometry

Basics of Coordinate Geometry

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