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Q: Given the coordinates of two points in the plane you can use either the distance formula or the Pythagorean theorem to find the distance between them.?
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What is the formula used to calculate DISTANCE?

1 The formula for calculating distance between two points is: d = √[(x₂ - x₁)² + (y₂ - y₁)²] Where: d is the distance between the two points. x₁ and x₂ are the x-coordinates of the two points. y₁ and y₂ are the y-coordinates of the two points. The formula is based on the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the distance between the two points is the hypotenuse of the right triangle formed by the two points and the x- and y-axes. For example, if the x-coordinates of the two points are 1 and 3, and the y-coordinates of the two points are 2 and 4, then the distance between the two points is: d = √[(3 - 1)² + (4 - 2)²] = √(4 + 4) = √8 = 2√2 The distance between the two points is 2√2 units. The formula for calculating distance can be used to find the distance between any two points, regardless of their coordinates. It can be used to find the distance between two cities, two countries, or two planets. It can also be used to find the distance between two objects in a physical model, such as a scale model of a city. The distance formula is a simple but powerful tool that can be used to measure distances in a variety of contexts.


What is the 3-D distance formula?

The 3-D distance formula depends upon what the two points are that you are trying to find the distance between. In order to find the formula, you need to enter 2 sets of coordinates in the 3 dimensional Cartesian coordinate system, and then calculate the distance between the points.


The Pythagorean Theorem is always better to use than the Distance Formula?

False.


How do you find the distance between two points on a coordinate plane?

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.


How can coordinates help you to find the area of figures on the coordinate plane?

Once you know the coordinates, you can use the distance formula to find the lengths of the sides, then using that, you can find the area.

Related questions

Is it true that Given the coordinates of two points in the plane you can use either the distance formula or the Pythagorean theorem to find the distance between them?

Yes it is true


Distance between 8 -13 and 1 -7 Midpoint between 8 -13 and 1 -7?

For the distance, use the Pythagorean formula. For the midpoint, take the average of the x-coordinates, and the average of the y-coordinates.


What is the difference in the distance formula and the Pythagorean theorem?

The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle.


Given the coordinates of two points in the plane you can use either the Distance Formula or the Pythagorean Theorem?

Answer: True


The Pythagorean Theorem is similar to?

the slope formula and the distance formula.


Is The Distance Formula is derived from the Pythagorean Theorem?

No.


The pythagorean theorem can be developed from what?

distance formula!


How can distances and midpoints be found on the coordinate plane when you can't easily count blocks?

If you have the coordinates, you can do calculations. You can get the distance with the Pythagorean formula; the x-point of the midpoint is the average of both x-coordinates, similar for the y-point.


How do you write the distance between points a and b?

If you know the coordinates either measure it or use the distance formula


Can the distance formula can be derived from the Pythagorean theorem?

Yes, the formula for the Euclidean distance. But not necessarily other distance metrics.


Is The pythagorean theroem derived from the distance formula?

the answer is false


A formula used to find the distance between two and points?

The straight-line distance can be calculated with the Pythagorean theorem:distance = square root of (delta-x squared + delta-y squared + delta-z squared)Where delta-x is the difference in the x-coordinates, etc.On a flat surface, you only need two coordinates (x and y).