Answer:
AB = 4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Calculate AB using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(0, 10)
AB = [tex]\sqrt{(0-6)^2+(10-2)^2}[/tex]
= [tex]\sqrt{4^2+8^2}[/tex]
= [tex]\sqrt{16+64}[/tex]
= [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex] ← exact length
