Distance Formula
In these lessons, we will learn
- how to derive the distance formula from the Pythagorean Theorem.
- how to use the distance formula.
Related Pages Pythagoras' Theorem Midpoint Formula Coordinate Geometry Geometry Lessons
Check out the distance formula calculator near the end of this page that can calculate the distance between two points. Use it to check your answers.
The following figures give the Distance Formula and how the Distance Formula is derived from the Pythagorean Theorem. Scroll down the page for more examples and solutions.
In the coordinate plane, we can use the distance formula to find the distance between any two points. The distance formula can be derived from the Pythagorean Theorem .
The distance between the two points (x 1 ,y 1 ) and (x 2 ,y 2 ) is given by the distance formula.
Example: 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.
Example: Find the distance between the points A(1, 2) and B(-3, -2).
Distance Formula Worksheet 1 Distance Formula Worksheet 2
How The Distance Formula Comes From The Pythagorean Theorem?
Example of finding the distance between two points.
The following videos show the Distance Formula and how to find the Distance Between Two Points
Example: Suppose you drive from point A(3,8) in a straight line to B(13,14); if you stop halfway how far would you be from point B?
The following video gives another example of using the distance formula
Distance Calculator This distance formula calculator can calculate the distance between two given points on the coordinate plane.
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COMMENTS
What is the length of the diameter? Here are ten (10) practice exercises about the distance formula. As you engage with these problems, my hope is that you gain a deeper understanding of how to apply the distance formula.
We will discuss here how to solve the problems on distance formula. The distance between two points A (x\(_{1}\), y\(_{1}\)) and B (x\(_{2}\), y\(_{2}\)) is given by the formula AB = …
How to use the distance formula. In order to find the distance between two points: Identify the two points and label them \bf{\left(x_1, y_1\right) } and \bf{\left(x_2, y_2\right)} . Substitute the values into the formula …
Whenever you read a problem that involves "how fast", "how far", or "for how long", you should think of the distance equation, d = rt, where d stands for distance, r stands for the (constant or …
The distance formula allows us to find the distance between two points on a coordinate plane. By substituting the coordinates into the distance formula, calculating the differences, squaring …