Question

Find the distance between the points (5/2,3) and (3/2,8)

Answer 1

d =
`√(26)` ≈ 5.1 ( to 1 dec. place )

Explanation:

to calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (
`(5)/(2)`, 3) and (x₂, y₂ ) = (
`(3)/(2)`, 8)

d =√ (
`(3)/(2)` -
`(5)/(2)`)² - (8 - 3)²

=
`√(1+25)` =
`√(26)` ≈ 5.1