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). (5, -2) and (7, 6) click twice to draw a line. click a segment to erase it.

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(5, - 2)$ and $(x_2,y_2)=(7,6)$.

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: $x_2 - x_1=7 - 5 = 2$ and $y_2 - y_1=6-( - 2)=8$. Then $d=\sqrt{2^2 + 8^2}=\sqrt{4 + 64}=\sqrt{68}$.

Step3: Simplify and round

$\sqrt{68}\approx8.2$.

Answer:

$8.2$