Question

the distance between point (a+b, b+a) and (a-b, c-b)​

Answer 1

   

$\Rightarrow\ \sqrt{(Difference\ of\ x\ coordinates)^2+(Difference\ of\ y\ coordinates)^2} \\ \\ \Rightarrow\ \sqrt{((a+b)-(a-b))^2+((b+a)-(c-b))^2} \\ \\ \Rightarrow\ \sqrt{(a+b-a+b)^2+(b+a-c+b)^2} \\ \\ \Rightarrow\ \sqrt{(2b)^2+(a+2b-c)^2} \\ \\ \Rightarrow\ \sqrt{4b^2+a^2+4b^2+c^2+4ab-4bc-2ac} \\ \\ \Rightarrow\ \sqrt{a^2+8b^2+c^2+4ab-4bc-2ac}$