To find the unknown side length in the triangle with the given sides of 20 and 30, we can assume we are dealing with a right triangle (if there is no further context). We can apply the Pythagorean theorem \( a^2 + b^2 = c^2 \).
Let's assume the unknown side is the hypotenuse \( c \).
- Let \( a = 20 \) and \( b = 30 \).
- Then, we can calculate \( c \):
\[ c = \sqrt{a^2 + b^2} = \sqrt{20^2 + 30^2} \]
Calculating it step-by-step:
\[ 20^2 = 400 \] \[ 30^2 = 900 \] \[ c = \sqrt{400 + 900} = \sqrt{1300} \] \[ c \approx 36.06 \]
Thus, the unknown side length, rounded to the nearest hundredth, is approximately 36.06.
If you meant the unknown side to be one of the legs of the triangle (let's call it \( x \)) given the other two sides, we can also investigate that case if needed. Please clarify if that's the case or if you have a different triangle type in mind!