SOLUTION: Find the distance between the following points.
(8,5) and (0,20)
Algebra.Com
Question 647495: Find the distance between the following points.
(8,5) and (0,20)
Found 2 solutions by jim_thompson5910, swincher4391:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: )
is the first point )
. So this means that and .
Also, )
is the second point )
. So this means that and .
Start with the distance formula.
Plug in , , , and .
Subtract from to get .
Subtract from to get .
Square to get .
Square to get .
Add to to get .
Take the square root of to get .
So our answer is
So the distance between the two points is 17 units.
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Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
The formula for distance is simply (maybe not simply)
Where (x1,y1) and (x2,y2) are just two points.
------
If you understand the distance formula you can skip this.
This formula is NOT random.
This formula pieces together slope and the Pythagorean Theorem.
Recall that for slope m = (change in y)/(change in x) = (y2-y1)/(x2-x1).
Now, visualize the distance from y1 to y2 and x1 to x2 as sides of a right triangle. x1 to x2 would be side a and y1 to y2 would be side b. The distance would be our hypotenuse, c. Let d be distance. So (c=d).
a^2 + b^2 = c^2
(x2-x1)^2 + (y2-y1)^2 = c^2
Now onto your problem.
------------------------
(8,5) and (0,20) are our points.
x1 = 8
y1 = 5
x2 = 0
y2 = 20
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