Answer:
4[tex]\sqrt{13}[/tex]
Step-by-step explanation:
The length of CD will be twice the distance from the midpoint to the endpoint
To calculate the length use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (8, 3)
d = 2 × [tex]\sqrt{(8-2)^2+(3+1)^2}[/tex]
= 2 × [tex]\sqrt{6^2+4^2}[/tex]
= 2 × [tex]\sqrt{52}[/tex]
= 2 × [tex]\sqrt{4(13)}[/tex]
= 2 × 2[tex]\sqrt{13}[/tex] = 4[tex]\sqrt{13}[/tex] ← exact length
