Yes it is true
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.
Answer: True
Because a right angle triangle can be formed by the given coordinates and the length of the line is the hypotenuse of the triangle and so by using Pythagoras' theorem its length or distance can be found. Distance formula: square root of [(x1-x2)^2 plus (y1-y2)^2)]
True
It is used, except that, because one set of coordinates are the same, the formula collapses into a simpler form.
Verdadero
For the distance, use the Pythagorean formula. For the midpoint, take the average of the x-coordinates, and the average of the y-coordinates.
To determine the distance between two points on a graph, you can use the distance formula, which is derived from the Pythagorean theorem. This formula calculates the distance as the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates of the two points. By plugging in the coordinates of the two points into the formula, you can find the distance between them on the graph.
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.
Answer: True
True. The distance formula, which is derived from the Pythagorean theorem, calculates the distance between two points in a plane. When finding the distance between a point ((x, y)) and the origin ((0, 0)), the formula simplifies to (d = \sqrt{x^2 + y^2}), which directly corresponds to the Pythagorean theorem. Thus, in this specific case, the distance formula is indeed equivalent to the Pythagorean theorem.
Yes, if you know the Pythagorean theorem, you can find the distance between two points in a Cartesian coordinate system. By using the formula (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}), where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points, you can apply the theorem to determine the distance as the hypotenuse of a right triangle formed by the differences in the x and y coordinates.
To find the length of a side between two points using coordinates, apply the distance formula, which is derived from the Pythagorean theorem. If the points are (A(x_1, y_1)) and (B(x_2, y_2)), the length of the side (AB) is calculated as (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}). This formula computes the straight-line distance between the two points in a Cartesian plane. By substituting the coordinates of the points into the formula, you can easily determine the length of the side.
the slope formula and the distance formula.
No.
distance formula!
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.