SOLUTION: Find the distance between A and B, where A and B have the following coordinates: A(–3, 5); B(5, –8). Show your work by using the notation sqrt( ) for square root.

Algebra ->  Triangles -> SOLUTION: Find the distance between A and B, where A and B have the following coordinates: A(–3, 5); B(5, –8). Show your work by using the notation sqrt( ) for square root.      Log On


   

Question 323224: Find the distance between A and B, where A and B have the following coordinates:
A(–3, 5); B(5, –8). Show your work by using the notation sqrt( ) for square root.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Note: is the first point . So this means that x%5B1%5D=-3 and y%5B1%5D=5.
Also, is the second point . So this means that x%5B2%5D=5 and y%5B2%5D=-8.


d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 Start with the distance formula.


d=sqrt%28%28-3-5%29%5E2%2B%285--8%29%5E2%29 Plug in x%5B1%5D=-3, x%5B2%5D=5, y%5B1%5D=5, and y%5B2%5D=-8.


d=sqrt%28%28-8%29%5E2%2B%285--8%29%5E2%29 Subtract 5 from -3 to get -8.


d=sqrt%28%28-8%29%5E2%2B%2813%29%5E2%29 Subtract -8 from 5 to get 13.


d=sqrt%2864%2B%2813%29%5E2%29 Square -8 to get 64.


d=sqrt%2864%2B169%29 Square 13 to get 169.


d=sqrt%28233%29 Add 64 to 169 to get 233.


So our answer is d=sqrt%28233%29


Which approximates to d=15.264 (using a calculator)



So the distance between the two points A and B is exactly sqrt%28233%29 units.


and the approximate distance between the two points A and B is about 15.264 units.