SOLUTION: If C(8,−1) and D(−2,3), what is the distance between the two points?

Algebra ->  Formulas -> SOLUTION: If C(8,−1) and D(−2,3), what is the distance between the two points?       Log On


   

Question 1108580: If C(8,−1) and D(−2,3), what is the distance between the two points?




Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
The distance between two points C(a,b) and D(x,y) in a coordinate plane is


d = sqrt%28%28x-a%29%5E2%2B%28y-b%29%5E2%29 = sqrt%28%28%28-2%29-8%29%5E2+%2B+%283-%28-1%29%29%5E2%29 = sqrt%28%28-10%29%5E2%2B+4%5E2%29 = sqrt%28100+%2B+16%29 = sqrt%28116%29 = 2%2Asqrt%2829%29.