SOLUTION: I don't understand this one Find the length of the segment joining the pair of points (5,2,0) and (7,3,2).

Algebra ->  Points-lines-and-rays -> SOLUTION: I don't understand this one Find the length of the segment joining the pair of points (5,2,0) and (7,3,2).       Log On


   

Question 113518: I don't understand this one
Find the length of the segment joining the pair of points (5,2,0) and (7,3,2).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the length, we can use the distance formula since distance and length are use interchangeably here.

Start with the given distance formula
where is the first point and is the second point

d=sqrt%28%285-7%29%5E2%2B%282-3%29%5E2%2B%280-2%29%5E2%29 Plug in x%5B1%5D=5, x%5B2%5D=7, y%5B1%5D=2, y%5B2%5D=3, z%5B1%5D=0, z%5B2%5D=2

d=sqrt%28%28-2%29%5E2%2B%28-1%29%5E2%2B%28-2%29%5E2%29 Evaluate 5-7 to get -2. Evaluate 2-3 to get -1. Evaluate 0-2 to get -2.

d=sqrt%284%2B1%2B4%29 Square each value

d=sqrt%289%29 Add

d=3 Take the square root

So the distance between (5,2,0) and (7,3,2) is 3 units. In other words, the length of the segment with the endpoints (5,2,0) and (7,3,2) is 3 units.