Respuesta :

Given that ABC is a right angle triangle And AC=4 and BC=10

So according to pythgoreous theorem:

[tex]AB^2+AC^2=BC^2[/tex]

Now put the values in it:

[tex]\begin{gathered} AB^2+(4)^2=(10)^2 \\ AB^2+16=100 \\ AB^2=100-16 \\ AB^2=84 \\ AB=\sqrt[]{84} \\ AB=\sqrt[]{4\times21} \\ AB=2\sqrt[]{21} \end{gathered}[/tex]

Hence the correct option is B.