Question

If A = (7,9) and B = (3 , 12) what is the length of AB

Answer 1

Answer:

AB = 5 units

Step-by-step explanation:

Calculate the length using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2$

with (x₁, y₁ ) = A(7, 9) and (x₂, y₂ ) = B(3, 12)

AB = $\sqrt{(3-7)^2+(12-9)^2}$

      = $\sqrt{(-4)^2+3^2}$

      = $\sqrt{16+9}$

      = $\sqrt{25}$

       = 5