Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Calculate the distance between the points using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)
d = [tex]\sqrt{(-5-0)^2+(0-5)^2}[/tex]
= [tex]\sqrt{(-5)^2+(-5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex] = [tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex] ← exact value
