The Euclidean distance between two points in a 2D space is calculated using the formula:

d = sqrt((x2-x1)² + (y2-y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Here, (x1, y1) = (7, 8) and (x2, y2) = (4, 1).

So,

d = sqrt((4-7)² + (1-8)²)
= sqrt((-3)² + (-7)²)
= sqrt(9 + 49)
= sqrt(58)

So, the Euclidean distance between the points (7, 8) and (4, 1) is sqrt(58).

Question

The Euclidean distance between two points in a 2D space is calculated using the formula:

d = sqrt((x2-x1)² + (y2-y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Here, (x1, y1) = (7, 8) and (x2, y2) = (4, 1).

So,

d = sqrt((4-7)² + (1-8)²)
  = sqrt((-3)² + (-7)²)
  = sqrt(9 + 49)
  = sqrt(58)

So, the Euclidean distance between the points (7, 8) and (4, 1) is sqrt(58).

Knowee AI · Accepted Answer

The Euclidean distance between two points in a 2D space is calculated using the formula:

d = sqrt((x2-x1)² + (y2-y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Here, (x1, y1) = (7, 8) and (x2, y2) = (4, 1).

So,

d = sqrt((4-7)² + (1-8)²)
  = sqrt((-3)² + (-7)²)
  = sqrt(9 + 49)
  = sqrt(58)

So, the Euclidean distance between the points (7, 8) and (4, 1) is sqrt(58).

Calculate the Euclidean distance between the points (7, 8) and (4, 1).