Answer:
20
Step-by-step explanation:
The formula of a distance between two points
[tex]A(x,\ y_1);\ B(x_2,\ y_2)\\\\AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute (16, 0) and (0, 12):
[tex]d=\sqrt{(0-16)^2+(12-0)^2}=\sqrt{(-16)^2+12^2}=\sqrt{256+144}=\sqrt{400}=20[/tex]
You can use the Pythagorean theorem.
Look at the picture.
[tex]d^2=16^2+12^2\\\\d^2=256+144\\\\d^2=400\to d=\sqrt{400}\\\\d=20[/tex]
