SOLUTION: Find the distance between the points (0,2) and ( 3,6)

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Question 60446This question is from textbook alegbra concepts and applications
: Find the distance between the points
(0,2) and ( 3,6)
This question is from textbook alegbra concepts and applications

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
This is geometry.
Remeber (x,y) is always how points appear written this way.
You've got (x1 , y1) and (x2 , y2)
The horizontal distance is x2 - x1
The vertical distance is y2 - y1.
The points are (0,2) and (3,6)
x2 - x1 = 3 - 0
x2 - x1 = 3
y2 - y1 = 6 - 2
y2 - y1 = 4
Now you need the formula for the hypotenuse of a right triange
l%5E2+=+x%5E2+%2B+y%5E2 where l,x, and y are all distances (not points)
l%5E2+=+3%5E2+%2B+4%5E2 read: length between points squared equals
the x length squared plus y length squared
l%5E2+=+9+%2B+16
l%5E2+=+25
l+=+sqrt%2825%29
l+=+5 answer