Question

Find the distance between points A(2, 5) and B(-3, 1).

• A. $\sqrt{21}$ units
• B. $\sqrt{41}$ units
• C. $\sqrt{35}$ units
• D. $\sqrt{15}$ units

Answer 1

The correct option is B $\sqrt{41}$ units

Given: A(2, 5) and B(-3, 1)

The distance between two points $(x_1,y_1)and(x_2,y_2)$ is given by $\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}.$

AB = $\sqrt{(-3-2{)}^2+(1-5{)}^2}$
AB = $\sqrt{(-5{)}^2+(-4{)}^2}$
AB = $\sqrt{25+16}$
​​​​​​​AB = $\sqrt{41}$ units