Question

ch. 1.2 - segment addition postulate
find the distance between each sets of points.
m (0, 0) and c (6, 8)
mc =

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, $x_1 = 0,y_1 = 0,x_2=6,y_2 = 8$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(6 - 0)^2+(8 - 0)^2}=\sqrt{6^2+8^2}=\sqrt{36 + 64}$.

Step3: Simplify

$\sqrt{36 + 64}=\sqrt{100}=10$.

Answer:

$10$