Friday

August 22, 2014

August 22, 2014

Posted by **Alex** on Wednesday, February 7, 2007 at 8:36pm.

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.

**Related Questions**

????MATH QUESTION - How is The Pythagorean Theroem and the Distance formula the ...

math - select at least 5 more Pythagorean Triples. Show why your 5 sets of ...

Geometry - Use the distance formula and the Pythagorean theorem to find the ...

geometry - Use the distance formula and the Pythagorean theorem to find the ...

Geometry - how is the distance formula related to the pythagorean theorem?

math - Having trouble with these pairs of numbers (20,21,29) - (28,45,53) I am ...

Math help plz - Identify three different situations where you could apply the ...

math - Use the Pythagorean Theorem to find the missing side length. someone ...

7th grade math Ms.Sue help please - 4. What is the distance between Nicholas’s ...

geometry - Use the Pythagorean distance formula to calculate the distance ...