Question

find the length of ab. a(3,7) b(7,4) what is the mid - point of ab? multiple - choice question (5,5.5) (5, - 5.5) ( - 5,5.5) (5.5,5)

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 3,y_1 = 7,x_2=7,y_2 = 4$.

Step2: Substitute values

$d=\sqrt{(7 - 3)^2+(4 - 7)^2}=\sqrt{4^2+( - 3)^2}=\sqrt{16 + 9}$.

Step3: Simplify

$\sqrt{16+9}=\sqrt{25}=5$.

Answer:

5