What is the distance between #(3, 9) # and #(5, –3)#?
To solve problems such as this one, you should use the distance formula (pythagorean theorem).
First, find the vertical and horizontal distances between the points.
Vertical distance = 9 + 3 = 12
Horizontal distance = |3 - 5| = |-2| = 2
So, assuming that the direct distance is the hypotenuse of our right triangle that has a horizontal length of 2 and a vertical height of 12, we now have enough information to do pythagorean theorem.
4 + 144 =
√148 or 2√37 = c
So, the answer in exact form is 2√37 units and in decimal form is 12.17.
Here is a practice exercise:
Find the distance between (2, -4) and (-6 , 8)
Hopefully you understand now!