Question

What is the length of the hypotenuse? If necessary, round to the nearest tenth.































c
=
centimeters


c
3cm
2cm

Answer 1

To find the length of the hypotenuse (c) in a right triangle, you can use the Pythagorean theorem, which states:

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

where \(a\) and \(b\) are the lengths of the two legs of the triangle.

In your case, you provided:

- \(a = 3 \, \text{cm}\)
- \(b = 2 \, \text{cm}\)

Now, we can calculate the hypotenuse:

\[
c = \sqrt{(3 \, \text{cm})^2 + (2 \, \text{cm})^2}
\]

Calculating the squares:

\[
c = \sqrt{9 \, \text{cm}^2 + 4 \, \text{cm}^2}
\]
\[
c = \sqrt{13 \, \text{cm}^2}
\]
\[
c \approx 3.60555 \, \text{cm}
\]

Rounding to the nearest tenth, the length of the hypotenuse is:

\[
c \approx 3.6 \, \text{cm}
\]