SOLUTION: Need some help with finding the distance between the two points. Round an approximate result tot he nearest hundredth. (4,3) and (9,15) How would I do this? totally confused.

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Need some help with finding the distance between the two points. Round an approximate result tot he nearest hundredth. (4,3) and (9,15) How would I do this? totally confused.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 419624: Need some help with finding the distance between the two points. Round an approximate result tot he nearest hundredth.
(4,3) and (9,15)
How would I do this? totally confused. Thanks :o)

Found 2 solutions by dnanos, richard1234:
Answer by dnanos(83) About Me  (Show Source):
You can put this solution on YOUR website!
There is a formula for the two points (x%5B1%5D , y%5B1%5D%29)and (x%5B2%5D,y%5B2%5D%29) distance:
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29
d=sqrt%28%284-9%29%5E2%2B%283-15%29%5E2%29=
sqrt%28%28-5%29%5E2%2B%28-12%29%5E2%29=
sqrt%2825%2B144%29=
sqrt%28169%29=
13=
13.00

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
I would do the same as the other tutor did. However, there is no need to memorize the "formula"; it is based directly off of the Pythagorean theorem. You are in essence trying to find the hypotenuse of a triangle with base x%5B2%5D+-+x%5B1%5D and height y%5B2%5D+-+y%5B1%5D (also note that the order of the x%5Bi%5D, y%5Bi%5D doesn't matter because it is being squared).