To find the unknown side length in a right triangle using the Pythagorean theorem, we use the formula:
\[ a^2 + b^2 = c^2 \]
where \(c\) is the hypotenuse and \(a\) and \(b\) are the other two sides.
From your input "15 rightangle 3", it seems like one of the sides is 15 and the other side is 3. We'll treat 15 as one side (\(a\)) and 3 as the other side (\(b\)). We will calculate the hypotenuse (\(c\)).
Let's plug in the values:
\[ 15^2 + 3^2 = c^2 \]
Calculating \(15^2\) and \(3^2\):
\[ 225 + 9 = c^2 \]
\[ 234 = c^2 \]
Now, take the square root of both sides to find \(c\):
\[ c = \sqrt{234} \]
Calculating this gives:
\[ c \approx 15.3297 \]
Rounding to the nearest tenth:
\[ c \approx 15.3 \]
So, the length of the hypotenuse \(c\) is approximately 15.3.