Question

whats the lenght between 3,2 and 7,8

Answer 1

To find the length between the points (3, 2) and (7, 8), you can use the distance formula:

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

Where:
- \( (x_1, y_1) = (3, 2) \)
- \( (x_2, y_2) = (7, 8) \)

Substituting the values into the formula:

\[
d = \sqrt{(7 - 3)^2 + (8 - 2)^2}
\]

Calculating inside the parentheses:

\[
d = \sqrt{(4)^2 + (6)^2}
\]

Now squaring the numbers:

\[
d = \sqrt{16 + 36}
\]

Adding the values:

\[
d = \sqrt{52}
\]

Now simplifying the square root:

\[
d = \sqrt{4 \times 13} = 2\sqrt{13}
\]

So, the length between the points (3, 2) and (7, 8) is \( 2\sqrt{13} \) or approximately \( 7.21 \) units.