Question

What is the side length of segment DE?

Answer 1

B

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = D (a, - 2b ) and (x₂, y₂ ) = E (4a, 0 )

d =
`√((4a-a)^2+(0 -(-2b))^2)`

=
`\sqrt{(3a)^2+(0+2b)^2`

=
`√((3a)^2+(2b)^2)`