To find the unknown side length in the given right triangle using the Pythagorean theorem, we can denote the lengths of the sides as follows:
- The left side (vertical) length = \( a = 15 \)
- The bottom side (horizontal) length = \( b = 3 \)
- The unknown side (hypotenuse) length = \( c \)
According to the Pythagorean theorem:
\[ c^2 = a^2 + b^2 \]
Substituting the known values:
\[ c^2 = 15^2 + 3^2 \] \[ c^2 = 225 + 9 \] \[ c^2 = 234 \]
Now, take the square root to find \( c \):
\[ c = \sqrt{234} \]
Calculating the square root:
\[ c \approx 15.3 \]
Therefore, rounding to the nearest tenth, the unknown side length is approximately \( 15.3 \).
The correct answer is:
Ο 15.3