Question

The endpoints of EF
are E(1,3) and F(-2,8).
Find EF.

Answer 1

EF =
`√(34)` ≈ 5.83

Explanation:

Calculate EF using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)

EF =
`√((-2-1)^2+(8-3)^2)`

=
`√((-3)^2+5^2)`

=
`√(9+25)`

=
`√(34)` ≈ 5.83 ( to 2 dec. places )