Question

Graph a right triangle with the two points forming the hypotenuse.Using the sides, find the distance between the two points, to thenearest tenth (if necessary).(1,6) and (-8,-6)

Answer 1

We will determine the distance between the points as follows:

*First, we calculate the directional vector of the two points, that is:

$(1,6)-(-8,-6)=(9,12)$

Now, we calculate the distance:

$d=\sqrt[]{9^2+12^2}\Rightarrow d=15$

From this, the distance equals 15 units.

***The triangle that is formed is: