The Distance Formula – Practice Problems

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The distance formula is a formula used to find the distance between two distinct points on a plane. The formula was derived from the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the square of the two legs.

Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.

The distance formula comes with some uses in everyday life. It can be used as a strategy for easy navigation and distance estimation. For example, if you want to estimate the distance of two places on a map, simply get the coordinate of the two places and apply the formula. Or when a pilot wants to know the distance of an incoming plane and his plane, he can use the plane radar and find the coordinates of the two planes and then apply the formula.

Use coordinates to prove simple geometric theorems algebraically


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Exercises in this Practice Problem
Explain how to calculate the distance between two points.
Calculate the distance from Carlos' village to his school.
Connect the ordered pairs with the right formula.
Determine the distance.
Find the right distance formula.
Examine the distances of the given points.