What is the distance between (6,5) and (2,3)?

1 Answer
Tony B
Apr 8, 2016

distance between point is " "2sqrt(5) 2√5

Explanation:

The straight line between these point can be considered as the hypotenuse of a triangle. Consequently it can be solved using Pythagoras.

Let the distance between the points be" "d d

Then

" "d=sqrt( [x_2-x_1]^2+[y_2-y_1] ^2) d=√[x2−x1]2+[y2−y1]2

" "d=sqrt( [2-6]^2+[3-5] ^2) d=√[2−6]2+[3−5]2

" "d= sqrt(20) = 2sqrt(5) d=√20=2√5

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