In the diagram, the points $P(-4,\ -3)$, $Q(1,\ 9)$ and $R(13,\ 4)$ form a triangle. Show that

Question

In the diagram, the points $P(-4,\ -3)$, $Q(1,\ 9)$ and $R(13,\ 4)$ form a triangle. Show that $PQ$ is perpendicular to $QR$.[3] Calculate the area of the triangle $PQR$.[3]

Accepted Answer

(i) $m_{PQ}m_{QR}=-1$, so $PQ\perp QR$ (ii) $\dfrac{169}{2}=84.5\text{ units}^2$

Perpendicular sides and the area of a triangle

Perpendicular sides and the area of a triangle

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