Question

In the standard (x,y ) coordinate plane, what is the distance between the
points (a,b) and (b,a) ?

Answer 1

You can derive a formula using the pythagorean theorem, thats what i used to do. for points (a,b) and (c,d) it works out to be ((d-b)^2+(c-a)^2)^(1/2)

Answer 2

Because the answer is sqrt of 2(a-b)squared. I don't know how to get there from that.

Answer 3

its an ap

application of pythagoras' theorem

\[d = \sqrt{(a - b)^2 + (b -a)^2}\]