Determine the distance between the pair of points.
-$( 3 \sqrt { 6 } , 2 ) \text { and } ( 5 \sqrt { 6 } , 7 )$
A)6
B) $\frac { 49 } { 2 }$
C)7
D)49

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a plane is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Applying this formula to the given points $(3\sqrt{6}, 2)$ and $(5\sqrt{6}, 7)$, we get $\sqrt{(5\sqrt{6} - 3\sqrt{6})^2 + (7 - 2)^2} = \sqrt{(2\sqrt{6})^2 + 5^2} = \sqrt{24 + 25} = \sqrt{49} = 7$.

Determine the Distance Between the Pair of Points (36,2) and (56,7)( 3 \sqrt { 6 } , 2 ) \text { and } ( 5 \sqrt { 6 } , 7 )(36​,2) and (56​,7)

Determine the Distance Between the Pair of Points $( 3 \sqrt { 6 } , 2 ) \text { and } ( 5 \sqrt { 6 } , 7 )$