Question

graph a right triangle with the two points forming the hypotenuse. using the sides, find distance between the two points, to the nearest tenth (if necessary). (-5, 8) and (-8, 4) click twice to draw a line. click a segment to erase it.

Explanation:

Step1: Identify coordinates

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

Step2: Calculate horizontal side length

The length of the horizontal side (difference in x - coordinates) is $|x_1 - x_2|=|-5-(-8)|=| - 5 + 8|=3$.

Step3: Calculate vertical side length

The length of the vertical side (difference in y - coordinates) is $|y_1 - y_2|=|8 - 4|=4$.

Step4: Apply Pythagorean theorem

The distance $d$ between the two points (length of the hypotenuse) is given by $d=\sqrt{(x_1 - x_2)^2+(y_1 - y_2)^2}=\sqrt{3^2 + 4^2}=\sqrt{9 + 16}=\sqrt{25}=5$.

Answer:

5