Question

Find the distance of AB (D), A= (12,4) B=(0,11)

Answer 1

To find the distance \( D \) between the two points \( A(12, 4) \) and \( B(0, 11) \), we can use the distance formula:

\[
D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Substituting the coordinates of the points \( A \) and \( B \):

- \( (x_1, y_1) = (12, 4) \)
- \( (x_2, y_2) = (0, 11) \)

We can now calculate:

\[
D = \sqrt{(0 - 12)^2 + (11 - 4)^2}
\]
\[
D = \sqrt{(-12)^2 + (7)^2}
\]
\[
D = \sqrt{144 + 49}
\]
\[
D = \sqrt{193}
\]

So, the distance \( D \) between points \( A \) and \( B \) is:

\[
D \approx 13.89
\]

Thus, the distance is \( \sqrt{193} \) or approximately \( 13.89 \).