Question

Distance between two points (a-b,a+b) and (a,b) is​

Answer 1

Answer:

$\sqrt{a^2+b^2}$

Step-by-step explanation:

Distance between $(x_1,y_1)$ and $(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-x_2)^2}$.

This is proved by applying Pythagorean theorem on two points.

Apply the formula.

$\sqrt{(a-a+b)^2+(b-a-b)^2}$

$=\sqrt{b^2+(-a)^2}$

$=\sqrt{a^2+b^2}$

∴ The distance is $\sqrt{a^2+b^2}$.