Algebra!
How is the distance formula and the pythagorean theroem similar?

The distance formula follows from the pythagorean theorem. You have to apply it twice:

If (x1, y1, z1) are the coordinates of a point 1 and (x2, y2, z2) are the coordinates of point 2, then the distance S is given by:

S^2 = (x1-x2)^2 + (y1-y2)^2 + (z1-z2)^2

If you project everything on the x-y plane then the distance is obviously given by Pythagoras' theorem. The square of the distance is the sum of the first two terms. Applying this theorem again, you see that you have to add to this the squared distance in the z-direction to find the square of the total distance.

According to the theroy of special relativity the distance between two points is not the same for all observers. You have to include the time coordinate as well to get an "invarian"distance formula:

S^2 = (x1-x2)^2 + (y1-y2)^2 + (z1-z2)^2
- c^2 (t1 - t2)^2

where c is the speed of light

This function is the same for all observers.

how i can find coordinate of each point.

1. 👍 0
2. 👎 0
3. 👁 230

## Similar Questions

1. ### ????MATH QUESTION

How is The Pythagorean Theroem and the Distance formula the same?

asked by Mary Ann on February 6, 2007
2. ### Geometry

Use the distance formula and the Pythagorean theorem to find the distance, to the neearest tenth, from R(6,-5) to U(-2,6)

asked by Lydia on July 22, 2011
3. ### geometry

Use the distance formula and the Pythagorean theorem to find the distance, to the neearest tenth, from R(6,-5) to U(-2,6)

asked by Lydia on July 22, 2011
4. ### Geometry

use the distance formula and the Pythagorean Theort to find the distance, to the nearest tenth, from R(6,-5) to U(-2,6). Hellllp! Thansk!!

asked by Lisa on July 24, 2011
5. ### geometry

Use the Pythagorean distance formula to calculate the distance between the following points on a graph: (-7,-3) (8,-11)

asked by kim on March 18, 2012
6. ### Geometry

how is the distance formula related to the pythagorean theorem?

asked by Skye on May 1, 2011
7. ### geometry

These two segments (DG and EH) should come out to be of equal distance. The coordinates of D are (-2h, 0) and G are (h,k). Using the distance formula I got the distance of DG to be the square root of 3h squared + k squared. Using

asked by Anonymous on February 3, 2009
8. ### Geometry

These two segments (DG and EH) should come out to be of equal distance. The coordinates of D are (-2h, 0) and G are (h,k). Using the distance formula I got the distance of DG to be the square root of 3h squared + k squared. Using

asked by Anonymous on February 3, 2009
9. ### Geometry Honors

On the bridge of a ship at sea, the captain asked the new, young officer standing next to him to determine the distance to the horizon. The officer took pencil and paper, and in a few moments came up with an answer. On the paper

asked by Ryan on April 13, 2016
10. ### Geometry

What formula should be used to derive the equation of a parabola given its focus and directrix? • The distance formula ?? • The midpoint formula • y = ax2 + bx + c • The area formula for a circle

asked by Sandra on May 20, 2015

More Similar Questions