To find the length of the hypotenuse in a right triangle, we 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 \(a = 1.1\) and \(b = 0.8\), we can plug in these values:
\[ c = \sqrt{(1.1)^2 + (0.8)^2} \]
Calculating \(1.1^2\) and \(0.8^2\):
\[ 1.1^2 = 1.21 \] \[ 0.8^2 = 0.64 \]
Now adding these values:
\[ c = \sqrt{1.21 + 0.64} = \sqrt{1.85} \]
Now, let's calculate \(\sqrt{1.85}\):
\[ \sqrt{1.85} \approx 1.36 \]
Rounding to the nearest tenth:
\[ c \approx 1.4 \]
Therefore, the length of the hypotenuse is approximately 1.4.