SOLUTION: Find the distance between the pair of points. (19,3) and (3,-19)

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Question 890672: Find the distance between the pair of points.
(19,3) and (3,-19)
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the distance between the pair of points.
(19,3) and (3,-19)
***
distance formula: d=sqrt%28%28x1-x2%29%5E2%2B%28y1-y2%29%5E2%29
d=sqrt%28%2819-3%29%5E2%2B%283-%28-19%29%29%5E2%29
d=sqrt%28%2819-3%29%5E2%2B%283%2B19%29%5E2%29
d=sqrt%28%2816%29%5E2%2B%2822%29%5E2%29
d=sqrt%28256%2B484%29
d=sqrt%28740%29
d=27.2

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( 19,3 ) and ( 3,-19 )
The x-component of the required distance is:
+19+-+3+=+16+ units
---------------------
The y-component of the required distance is:
+3+-%28-19%29+=+22+
---------------------
Using the pythagorean theorem:
+d%5E2+=+16%5E2+%2B+22%5E2+
+d%5E2+=+256+%2B+484+
+d%5E2+=+740+
+d+=+27.203+ units