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