Question

Find ST, where the endpoints
S(-5,-1) and T(-2,3). Leave answer exact

Answer 1

ST = 5

Explanation:

Calculate ST using the distance formula

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

with )x₁, y₁ ) = S(- 5, - 1) and (x₂, y₂ ) = T(- 2, 3)

ST =
`√((-2+5)^2+(3+1)^2)`

=
`√(3^2+4^2)`

=
`√(9+16)`

=
`√(25)`

= 5