Respuesta :
Answer:
[tex]\sqrt{a^2+b^2}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (a, 0) and (x₂, y₂ ) = (0, b)
d = [tex]\sqrt{(0-a)^2+(b-0)^2}[/tex]
= [tex]\sqrt{(-a)^2+b^2}[/tex]
= [tex]\sqrt{a^2+b^2}[/tex]