SOLUTION: how do i use the pythagorean theorem to find the distance between the pair of points? G(-2,-6) H(6,9)

Algebra ->  Length-and-distance -> SOLUTION: how do i use the pythagorean theorem to find the distance between the pair of points? G(-2,-6) H(6,9)      Log On


   

Question 153358: how do i use the pythagorean theorem to find the distance between the pair of points?
G(-2,-6) H(6,9)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how do i use the pythagorean theorem to find the distance between the pair of points?
G(-2,-6) H(6,9)
:
Can you recognize the spirit of old Pythagorus in the distance formula?
d = sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29
:
In this problem: x1=-2, y1=-6; x2=6, y2=9
:
d = sqrt%28%286-%28-2%29%29%5E2+%2B+%289-%28-6%29%29%5E2%29
:
d = sqrt%28%286%2B2%29%5E2+%2B+%289%2B6%29%29%5E2%29; minus a minus is plus
:
d = sqrt%288%5E2+%2B+15%5E2%29
:
d = sqrt%2864+%2B+225%29
:
d = sqrt%28289%29
:
d = 17