Question

Find the distance between point
𝐴
(
10
,

1
)
A(10, 1) and
𝐵
(
18
,

17
)
B(18, 17). Round your answer to the nearest tenth.

Answer 1

To find the distance between the points \( A(10, 1) \) and \( B(18, 17) \), we can use the distance formula:

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

Here, \( A(x_1, y_1) = (10, 1) \) and \( B(x_2, y_2) = (18, 17) \).

Now, substituting the coordinates into the formula:

\[
d = \sqrt{(18 - 10)^2 + (17 - 1)^2}
\]

Calculating the differences:

\[
d = \sqrt{(8)^2 + (16)^2}
\]

Calculating the squares:

\[
d = \sqrt{64 + 256}
\]

Adding these values:

\[
d = \sqrt{320}
\]

Now, taking the square root:

\[
d \approx 17.888
\]

Rounding to the nearest tenth, the distance between the points \( A \) and \( B \) is:

\[
\boxed{17.9}
\]