How is the distance formula like the pythagorean theorem explain?

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babygaby8739 babygaby8739

18-10-2017
Mathematics

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How is the distance formula like the pythagorean theorem explain?

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barnuts barnuts · Answer 1 · 2017-10-19T02:20:51+02:00

The distance formula is simply a variation of the theorem. The method is the same with the Pythagorean however we are now dealing with 2 sets of points instead of 2 lengths.

In the distance formula, the lengths are derived from the (x1,y1)->(x2,y2) coordinate points and the formula simplified. We still square the difference of x’s and difference of y’s to get our two squares then square root the sum to give our length. While the Pythagorean theorem is directly the sum of the square of the other two sides.

Nevertheless, both formulas work on the same principle.

Jlsumerlin06 Jlsumerlin06 · Answer 2 · 2020-04-22T21:41:01+02:00

Jlsumerlin06 Jlsumerlin06

22-04-2020

Answer:

Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The horizontal leg of the right triangle represents the difference in the x values of the two points. The hypotenuse of the right triangle represents the distance between the two points.

Step-by-step explanation:

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