How do you find the distance between the points (4/5, -1), (2,-1/2)?

Question

3378 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-18T09:52:29

Distance = $1.3$

The distance between two points is found by finding the length of the line that would join them The formula is based on the Theorem of Pythagoras.

$abs(AB) = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)$

Using the given points: $(4/5,-1) and (2,-1/2)$

$= sqrt((-1/2-(-1))^2 +(2-4/5)^2$

$=sqrt((1/2)^2 +(6/5)^2)$

$= sqrt(1/4+36/25)$

$= sqrt((25+144)/100)$

$= sqrt(169/100)$

$=13/10$

$=1.3$