What is the distance between (1,5) and (2,12)?

1 Answer
Özgür Özer
Dec 13, 2015

color(white)(xx)5sqrt2

Explanation:

Let distance be d. Then:

color(white)(xx)d^2=(Deltax)^2+(Deltay)^2color(white)(xxxxxxxxxxx) (Pythagorous' Theorem)

=>sqrt(d^2)=sqrt((color(red)(x_2-x_1))^2+(color(red)(y_2-y_1))^2)

=>d=sqrt((color(red)2-color(red)1)^2+(color(red)12-color(red)5)^2)
color(white)(xxx)=sqrt(color(red)1^2+color(red)7^2)
color(white)(xxx)=sqrt(color(red)1+color(red)49)
color(white)(xxx)=5sqrt2

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