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). (-2,4) and (-8,-5) click twice to draw a line. click a segment to erase it.

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(-2,4)$ and $(x_2,y_2)=(-8,-5)$.

Step2: Use 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: $x_2 - x_1=-8-(-2)=-6$ and $y_2 - y_1=-5 - 4=-9$. Then $d=\sqrt{(-6)^2+(-9)^2}=\sqrt{36 + 81}=\sqrt{117}$.

Step3: Simplify and round

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

Answer:

$10.8$