Tiger Algebra Calculator

The distance formula, an application of the Pythagorean theorem, is a very helpful tool for finding the distance between two points. The Pythagorean theorem states the following: in a right triangle, the length of side $$a$$ squared plus the length of side $$b$$ squared is equal to the length of the hypotenuse (side $$c$$) squared.
$$a^2+b^2=c^2$$


The hypotenuse ($$c$$) is the longest side of a right triangle and is always opposite the right angle. The length of the hypotenuse also represents the distance between points A and B, which can each be represented by two coordinates: an $$x$$ coordinate and a $$y$$ coordinate.
Point A = $$\left(x_1,y_1\right)$$
Point B = $$\left(x_2,y_2\right)$$

To get the distance formula, we can rewrite the Pythagorean theorem as:
$$d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$$
in which $$d$$ represents the distance between points A and B, and the Xs and Ys represent the $$x$$ and $$y$$ coordinates of points A and B.

In order to find the distance between two points, enter their coordinates (for example (1,2) and (3,4)) and click the solve button.