Question

Given A= (-3,6) and B=(10,-8) what is the length of AB

Answer 1

`\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = √((x_2-x_1)^2 + (y_2 -y_1)^2)\\\\~~~~~=√((10+3)^2 + (-8-6)^2)\\\\~~~~~=√(13^2 + 14^2)\\\\~~~~~=√(365)\\\\~~~~~=19.105~ units`