Question

What is the distance between the points (2, 5) and (5, 7)?

Answer 1

So you want the diagonal distance between the two points. So using pythagoreas, you want the x and y distances between both points. Which would be 3 and 2 3^2+2^2=c^2. So c=sqrt 13

Answer 2

a) √10
b) √13
c) 5

Answer 3

\[\sqrt{(5-2)^2+(7-5)^2}=\sqrt{9+4}=\sqrt{13}\]