What is the distance between #(3, 0) # and #(0, 4) #?

1 Answer
Jan 2, 2016

It's 5 (Euclidean distance)


Use the Euclidean distance:


Note: The order of the coordinates inside the powers does not matter.

Understanding it: Geometrically speaking, draw a line between these two points in the Cartesian system. Afterwards, draw a vertical line and a horizontal line in each of the points. You can notice that they form 2 triangles which have a #90^o# angle each. Pick one of them and apply the Pythagorean theorem.