To find the missing side \( x \) of the right triangle, we can use the Pythagorean theorem, which states:
\[ a^2 + b^2 = c^2 \]
where \( c \) is the hypotenuse (the longest side) and \( a \) and \( b \) are the other two sides.
From your question, it seems you have one side of length 11 and another side of length 27. To identify which is the hypotenuse, let's assume 27 is the hypotenuse (the longest side).
So, we will denote:
- \( a = 11 \)
- \( c = 27 \)
Now we need to find the missing side \( b \):
\[ 11^2 + b^2 = 27^2 \]
Calculating the squares:
\[ 121 + b^2 = 729 \]
Now, isolate \( b^2 \):
\[ b^2 = 729 - 121 \] \[ b^2 = 608 \]
Now, take the square root of both sides to find \( b \):
\[ b = \sqrt{608} \approx 24.6 \]
Thus, rounding to the nearest tenth, the missing side \( x \) is approximately \( 24.6 \).
So, your final answer is:
\[ x \approx 24.6 \]