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The Pythagorean theorem defines Euclidean distance between two points in space.
If the coordinates of A are (xa, ya, za) and those of B are (xb, yb, zb) then, using the Pythagoras theorem in 3-dimensions,
|AB| = sqrt[(xa - xb)2 + (ya - yb)2 + (za - zb)2]
However, Euclidean distance is not the only distance metric. A simple example of a non-Euclidean metric is the metric variously known as the Taxicab, Manhattan or Minkowski metric. This is based on a grid of mutually perpendicular lines and the distance between two points A = (p, q) and B = (r, s) is (r-p) + (s-q). To go from A to B on the grid of streets and avenues in [downtown] Manhattan, the cab has to go travel (r-p) units in one direction and (s-q) in an orthogonal direction.
There are many other possible metrics. So, the Pythagorean theorem is only one of many possible formulae for distance.
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Is The Distance Formula is derived from the Pythagorean Theorem?
No.
What formula is used to find the length between two points in a coordinate plane?
It is the Pythagorean distance formmula.If P = (x1, y1) and Q = (x2, y2) thenDistance between P and Q = sqrt[(x1 - x2)2 + (y1 - y2)2]It is the Pythagorean distance formmula.If P = (x1, y1) and Q = (x2, y2) thenDistance between P and Q = sqrt[(x1 - x2)2 + (y1 - y2)2]It is the Pythagorean distance formmula.If P = (x1, y1) and Q = (x2, y2) thenDistance between P and Q = sqrt[(x1 - x2)2 + (y1 - y2)2]It is the Pythagorean distance formmula.If P = (x1, y1) and Q = (x2, y2) thenDistance between P and Q = sqrt[(x1 - x2)2 + (y1 - y2)2]
Which formula can be derived by using the Pythagorean theorem in the coordinate plane?
The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it can also be used to find the equation of a line.
To find the distance between any two points in the planes do you distance formula?
Yes
Converse of Pythagorean Theorem?
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
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.
The Pythagorean Theorem is similar to?
the slope formula and the distance formula.
The pythagorean theorem can be developed from what?
distance formula!
Is The Distance Formula is derived from the Pythagorean Theorem?
No.
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.?
Verdadero
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
What is better the pythagorean therom or the disance formula?
Better for what??? Actually, both are closely related. The distance formula is derived from the Pythagorean theorem.
What is better to use The Distance Formula or The Pythagorean Theorem?
false
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
Is the distance formula derived from Pythagorean theorem?
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
Is Pythagorean theorem is derived from the distance formula?
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
