Question

Determine the distance between V(3, 8) andT(9, 10). Write answer as a simplified radical.

Answer 1

1) To calculate that, let's use this formula derived from the Pythagorean Theorem:

`\begin{gathered} d\text{ =}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d\text{=}\sqrt[]{(9_{}-3_{})^2+(10_{}-8_{})^2} \\ d\text{=2}\sqrt[]{10^{}} \end{gathered}`

So the distance between point V and point T is 2√10