Three points have coordinates $P(-3, 4)$, $Q(7, -2)$ and $R(5, m)$. Find the value of $m$ if

Question

Three points have coordinates $P(-3, 4)$, $Q(7, -2)$ and $R(5, m)$. Find the value of $m$ if $PQ$ is perpendicular to $PR$, the midpoint of $PQ$, the equation of the perpendicular bisector of $PQ$, the lengths of $PQ$ and $PR$, the area of triangle $PQR$, using the results in (d).

Accepted Answer

(a) $\frac{52}{3}$; (b) $(2,1)$; (c) $y=\frac53x-\frac73$; (d) $2\sqrt{34},\frac{8\sqrt{34}}3$ units; (e) $\frac{272}{3}$ units$^2$.

Coordinate Geometry - Length of a Line Segment

Coordinate Geometry - Length of a Line Segment

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