Question

graph a right triangle with the two points forming the hypotenuse. using the sides, find the distance between the two points, to the nearest tenth (if necessary). (-2,7) and (7,1) click twice to draw a line. click a segment to erase it.

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(-2,7)$ and $(x_2,y_2)=(7,1)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
Substitute the values: $d=\sqrt{(7-(-2))^2+(1 - 7)^2}=\sqrt{(7 + 2)^2+( - 6)^2}=\sqrt{9^2+(-6)^2}=\sqrt{81 + 36}=\sqrt{117}$.

Step3: Calculate and round

$\sqrt{117}\approx10.8$.

Answer:

$10.8$