Question

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

Answer 1

Answer:

$\sqrt{65}$ units

Step-by-step explanation:

distance between 2 points, (x₁,y₁),(x₂,y₂)

is given by d = $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ units

here, the points are   A(1, -3) and B(2, 5).​

=> d(AB) = $\sqrt{(1-2)^2+(-3-5)^2}$ units      

              =     $\sqrt{(-1)^2+(-8)^2}$ units

              =     $\sqrt{1+64}$ units

              =     $\sqrt{65}$ units