Which is the correct distance between (2, 7) and (3,8)?

Answer 1

(2,7) and (3,8) are √2 units from each other. Think about drawing a right triangle between the two points:

The distance between 2 & 3 is 1, as is the distance from 7 to 8. You would have a right triangle with both legs =1. To find the hypotenuse, use the Pythagorean Theorem: a²+b²=c². Plugging in the legs, 1²+1²=c², or 1+1=c². So 2=c², and taking the square root of both sides of that equation gives c=√(2), or about 1.414.