Question

Find the EXACT distance between the two points.



(9, 31) and (12, 25)

Answer 1

Subtract the big x coordinate from the small x coordinate and the big y coordinate from the small y coordinate. 12-9=3, and 31-25=6. 3 X points and 6 y points away.

Answer 2

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.

and so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse, and a, b being the legs.

so,

the x difference is 9-12 = -3

the y difference is 31-25 = 6

therefore,

distance² = (-3)² + 6² = 9 + 36 = 45

distance = sqrt(45) = 6.708203932...