Question

Find the distance between point A(5, 3) and B(15, 17).

Answer 1

To find the distance between two points, we can use the distance formula, which is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Here, (x1, y1) represents the coordinates of point A and (x2, y2) represents the coordinates of point B.

Using the given coordinates, we have:

x1 = 5, y1 = 3
x2 = 15, y2 = 17

Plugging these values into the distance formula, we get:

d = √((15 - 5)^2 + (17 - 3)^2)
= √(10^2 + 14^2)
= √(100 + 196)
= √296

Thus, the distance between point A(5, 3) and B(15, 17) is √296.