Question

Triangle ABC is a right triangle. What is the length of AC?

Answer 1

AC =
`√(58)`

Explanation:

Calculate AC using the distance formula

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

with (x₁, y₁ ) = A (0, - 2) and (x₂, y₂ ) = C (3, 5 )

AC =
`√((3-0)^2+(5-(-2)))^2`

=
`√(3^2+(5+2)^2)`

=
`√(9+7^2)`

=
`√(9+49)`

=
`√(58)`