Question

Describe the error in finding the distance between A(6, 2) and B(1,-4). X AB = V(6-2)2 +[1-(-4)] = 142 +52 = V 16 + 25 = 141

Answer 1

The distance between two points can be calculated using the formula;

`d=√((y_2-y_1)^2+(x_2-x_1)^2)`

For points;

`A(x_1,y_1)\text{ and B}(x_2,y_2)`

Given the points;

`\begin{gathered} A\left(6,2\right)and \\ B\left(1,-4\right) \end{gathered}`

The distance between the two points can be calculated using the above formula;

`\begin{gathered} AB=√((y_2-y_1)^2+(x_2-x_1)^2) \\ AB=√((-4-2)^2+(1-6)^2) \\ AB=√((-6)^2+(-5)^2) \\ AB=√(36+25) \\ AB=√(61) \end{gathered}`

The distance between the two points is;

`AB=√(61)=7.81`