In these lessons, we will learn
In the coordinate plane, we can use the distance formula to find the distance between any two points. The distance formula can be derive from the Pythagorean Theorem.
The distance between the two points (x1,y1) and (x2,y2) is given by the distance formula.
To find the distance between the points P(2, 3) and Q(1, 1). We can sketch the right-angled triangle PQR with PQ as the hypotenuse.
Using Pythagoras theorem: PQ2 = (2 – 1)2 + (3 –1)2
⇒ PQ =
In general, the distance between two points P(x1,y1) and Q(x2,y2) is given by the distance formula:
Find the distance between the points A(1, 2) and B(-3, -2).
Using the distance formula:
= 5.66 (correct to 2 decimal places)
This video shows how the distance formula comes from the Pythagorean Theorem, and do one simple example of finding the distance between two points.
The following videos show the Distance Formula and how to find the Distance Between Two Points.
The following video gives another example of using the distance formula.
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