Question

Find the distance between the points given. (0,5) and (-5,0)

Answer 1

5
`√(2)`

Explanation:

Calculate the distance between the points using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)

d =
`√((-5-0)^2+(0-5)^2)`

=
`√((-5)^2+(-5)^2)`

=
`√(25+25)` =
`√(50)` = 5
`√(2)` ← exact value