Question

What is the length of the hypotenuse? If necessary, round to the nearest tenth. a = 2 b =3

Answer 1

To find the length of the hypotenuse in a right triangle given the lengths of the other two sides (the legs), 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.

Given \(a = 2\) and \(b = 3\):

\[
c = \sqrt{2^2 + 3^2} = \sqrt{4 + 9} = \sqrt{13}
\]

Now, we can calculate \(\sqrt{13}\):

\[
\sqrt{13} \approx 3.60555
\]

Rounding to the nearest tenth, the length of the hypotenuse is approximately \(3.6\).

So, the hypotenuse is \(3.6\).