Question

find the distance between the two points in simplest radical form.

Explanation:

Step1: Identify the coordinates

Let the two - point be $(x_1,y_1)$ and $(x_2,y_2)$. Assume the upper - right point is $(8,2)$ and the lower - right point is $(6, - 7)$.

Step2: Apply the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 6,y_1=-7,x_2 = 8,y_2 = 2$. Then $d=\sqrt{(8 - 6)^2+(2-(-7))^2}$.

Step3: Simplify the expression

First, calculate $(8 - 6)^2=2^2 = 4$ and $(2 + 7)^2=9^2 = 81$. Then $d=\sqrt{4 + 81}=\sqrt{85}$.

Answer:

$\sqrt{85}$