Question

what is the length of the hypotenuse 3 mi and 1 mi

Answer 1

To find the length of the hypotenuse of a right triangle with legs measuring 3 miles and 1 mile, you can use the Pythagorean theorem, which states:

\[
c = \sqrt{a^2 + b^2}
\]

where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two sides.

Here, \(a = 3\) miles and \(b = 1\) mile. Plugging in these values:

\[
c = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10}
\]

Now, calculating \(\sqrt{10}\):

\[
c \approx 3.16 \text{ miles}
\]

So, the length of the hypotenuse is approximately 3.16 miles.