What is the distance between (5, 12) and (10, 2) ?

1 Answer
Özgür Özer
Dec 14, 2015

color(white)(xx)5sqrt5

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)10-color(red)5)^2+(color(red)2-color(red)12)^2)
color(white)(xxx)=sqrt(color(red)5^2+color(red)10^2)
color(white)(xxx)=sqrt(color(red)25+color(red)100)
color(white)(xxx)=5sqrt5

Related questions
See all questions in Distance Formula
Impact of this question
1653 views around the world
You can reuse this answer
Creative Commons License