Distance between two points
We are going to use the Pythagorean Theorem to find their distance. It says that in a right triangle:
S₁² + S₂² = h²
Using the given points we are going to construct a triangle
If we find side 1 and side 2 of the triangle we will find their distance (the hypotenuse is the distance in this case):
Side 1: change of x
The distance, horizontally, between the two points is
|0 - (-3) | = |0 + 3| = 3
(first numbers of ordered pairs)
Side 2: change of y
The vertical distance between is
|3 - 2| = 1
(second numbers of ordered pairs)
Then the hypotenuse is given by
S₁² + S₂² = h²
3² + 1² = h²
9 + 1 = h²
10 = h²
√10 = h
Answer: the distance between the points (-3, 2) and (0, 3) is √10