How far away is point (3, 0) from (0, 4) in feet? Is there a really simple way to do it?

1 answer

Yes, there is a simple way to calculate the distance between two points in a 2-dimensional space using the distance formula. The formula is:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

For the points \((3, 0)\) and \((0, 4)\):

  • \((x_1, y_1) = (3, 0)\)
  • \((x_2, y_2) = (0, 4)\)

Now, plug in the values:

\[ d = \sqrt{(0 - 3)^2 + (4 - 0)^2} \] \[ d = \sqrt{(-3)^2 + (4)^2} \] \[ d = \sqrt{9 + 16} \] \[ d = \sqrt{25} \] \[ d = 5 \]

So, the distance between the points \((3, 0)\) and \((0, 4)\) is 5 feet.