Find the midpoint of the line segment whose endpoints are given.
-$( 7 \sqrt { 6 } , 8 \sqrt { 2 } ) , ( 10 \sqrt { 6 } , 11 \sqrt { 2 } )$
A) $\left( \frac { 3 \sqrt { 6 } } { 2 } , \frac { 3 \sqrt { 2 } } { 2 } \right)$
B) $\left( \frac { 17 \sqrt { 6 } } { 2 } , \frac { 19 \sqrt { 2 } } { 2 } \right)$
C) $\left( \frac { - 3 \sqrt { 6 } } { 2 } , \frac { - 3 \sqrt { 2 } } { 2 } \right)$
D) $( 17 \sqrt { 6 } , 19 \sqrt { 2 } )$

Question

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Applying this formula to the given endpoints $(7\sqrt{6}, 8\sqrt{2})$ and $(10\sqrt{6}, 11\sqrt{2})$, we get the midpoint as $\left( \frac{7\sqrt{6} + 10\sqrt{6}}{2}, \frac{8\sqrt{2} + 11\sqrt{2}}{2} \right) = \left( \frac{17\sqrt{6}}{2}, \frac{19\sqrt{2}}{2} \right)$.

Find the Midpoint of the Line Segment Whose Endpoints Are (76,82),(106,112)( 7 \sqrt { 6 } , 8 \sqrt { 2 } ) , ( 10 \sqrt { 6 } , 11 \sqrt { 2 } )(76​,82​),(106​,112​)

Find the Midpoint of the Line Segment Whose Endpoints Are $( 7 \sqrt { 6 } , 8 \sqrt { 2 } ) , ( 10 \sqrt { 6 } , 11 \sqrt { 2 } )$