What is the distance between (2, 5) and ( 7, 4) ?

1 Answer
Shantelle
Jul 25, 2018

The distance is sqrt26 or about 5.099 (rounded to nearest thousandth's place).

Explanation:

The formula for the distance of 2-dimensional coordinates is: d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)

We have the two coordinates, so we can plug in the values for x and y:
d = sqrt((7-2)^2 + (4-5)^2)

Now we simplify:
d = sqrt((5)^2 + (-1)^2)

d = sqrt(25 + 1)

d = sqrt(26)

If you want to leave it in exact form, you can leave the distance as sqrt26. However, if you want the decimal answer, here it is rounded to the nearest thousandth's place:
d ~~ 5.099

Hope this helps!

Related questions
See all questions in Distance Formula
Impact of this question
5033 views around the world
You can reuse this answer
Creative Commons License