Question

Given A(1, 5) and B(3, 13), find AB.

Answer 1

`\dag\bf\:A(x_1,y_1)=(1,5)`

`\dag\bf\:B(x_2,y_2)=(3,13)`

We have to find distance between point A and point B
`.`

`\bigstar\:\boxed{\bf{AB=√((x_2-x_1)^2+(y_2+y_1)^2)}}`

`:\implies\tt\:AB=√((3-1)^2+(13-5)^2)`

`:\implies\tt\:AB=√((2)^2+(8)^2)`

`:\implies\tt\:AB=√(4+64)`

`:\implies\tt\:AB=√(68)`

`:\implies\tt\:AB=√(4(17))`

`:\implies\underline{\boxed{\bf{\red{AB=2√(17)\:unit}}}}`