Question

The vertices of triangle PQR are P(3,4), Q(5,8) and R(7,4). State the coordinates of the midpoint S of side PR

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad R(\stackrel{x_2}{7}~,~\stackrel{y_2}{4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 7 +3}{2}~~~ ,~~~ \cfrac{ 4 +4}{2} \right) \implies \left(\cfrac{ 10 }{2}~~~ ,~~~ \cfrac{ 8 }{2} \right)\implies \stackrel{ \textit{\LARGE S} }{(5~~,~~4)}`