-- Square the difference between their 'x'-values.
-- Square the difference between their 'y'-values.
-- Add the two squares.
-- Take the square-root of the sum. The result is
the distance between the points.
Point 1 = (x1, y1)Point2 = (x2, y2)d = ((x2 -x1)2 + ( y2 -x2 )2 )0.5
The horizontal distance between them is from -5 to 1, that is 6 units. The vertical distance between them is from 1 to 6, that is 5 units. So, using Pythagoras, the distance between then, along the diagonal, is sqrt(62 + 52) = sqrt(36 + 25) = sqrt(61) units.
The answer is the x coordinate of the point.
ruler
To find the distance between the origin and the point (x,y) use Pythagoras on the right angled triangle which has the points (0, 0), (x, 0), (x, y) - the distance is the hypotenuse of the triangle and so has length: distance = √(x2 + y2) This can be extended to find the distance between any two points (x1, y1) and (x2, y2): distance = √((x2 - x1)2 + (y2 - y1)2) (for the original question (x1, y1) is the origin (0, 0) and the first formula results.)
The 3-D distance formula depends upon what the two points are that you are trying to find the distance between. In order to find the formula, you need to enter 2 sets of coordinates in the 3 dimensional Cartesian coordinate system, and then calculate the distance between the points.
Use the distance formula. SQRT( (y1-y2)^2 + (x1-x2)^2) ) x1 and y1 are the first coordinate pair x2 and y2 are the second coordinate pair
Point 1 = (x1, y1)Point2 = (x2, y2)d = ((x2 -x1)2 + ( y2 -x2 )2 )0.5
The horizontal distance between them is from -5 to 1, that is 6 units. The vertical distance between them is from 1 to 6, that is 5 units. So, using Pythagoras, the distance between then, along the diagonal, is sqrt(62 + 52) = sqrt(36 + 25) = sqrt(61) units.
The answer is the x coordinate of the point.
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
ruler
how do you find distance between points
the first point is x = 28 and y = -17. The second point is x = -15 and y = -17. Since both points have the same y coordinate then the points are on a straight horizontal line and distance is the difference of the x coordinates, or 28 - (-15) = 43
To find the distance between the origin and the point (x,y) use Pythagoras on the right angled triangle which has the points (0, 0), (x, 0), (x, y) - the distance is the hypotenuse of the triangle and so has length: distance = √(x2 + y2) This can be extended to find the distance between any two points (x1, y1) and (x2, y2): distance = √((x2 - x1)2 + (y2 - y1)2) (for the original question (x1, y1) is the origin (0, 0) and the first formula results.)
The distance between the points of (4, 3) and (0, 3) is 4 units
If the points are (3, 2) and (9, 10) then the distance works out as 10