Question

What is the length, in units, of the line segment with endpoints at (1, 4) and (3, 7)?

Answer 1

≈ 3.6 units

Explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (3, 7)

d =
`√((3-1)^2+(7-4)^2)`

=
`√(2^2+3^2)`

=
`√(4+9)`

=
`√(13)` ≈ 3.6 units ( to 1 dec. place )