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

1 Answer
Jan 2, 2016

Answer:

It's 5 (Euclidean distance)

Explanation:

Use the Euclidean distance:

#d=sqrt(Δx^2+Δy^2)=sqrt((3-0)^2+(0-4)^2)=sqrt(3^2+4^2)=sqrt(9+16)=sqrt(25)=5#

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.