To find the length of the diagonal of a rectangular prism, we can use the formula for the space diagonal, which is given by:
\[ d = \sqrt{l^2 + w^2 + h^2} \]
where:
- \(l\) is the length,
- \(w\) is the width,
- \(h\) is the height.
For Keysha's coffee table, we have:
- Length (\(l\)) = 44 in.,
- Width (\(w\)) = 24 in.,
- Height (\(h\)) = 14 in.
First, we will calculate \(l^2\), \(w^2\), and \(h^2\):
\[ l^2 = 44^2 = 1936 \]
\[ w^2 = 24^2 = 576 \]
\[ h^2 = 14^2 = 196 \]
Next, we can sum these values:
\[ l^2 + w^2 + h^2 = 1936 + 576 + 196 = 2708 \]
Now, we will take the square root to find the length of the diagonal:
\[ d = \sqrt{2708} \approx 52.0 \]
Rounding to the nearest tenth, the length Keysha should make each diagonal is:
\[ \boxed{52.0} \text{ in.} \]