To determine the unknown side of a triangle with given sides of 20 and 30, we would need additional information about the triangle, such as whether it's a right triangle, the angle between the two sides, or if it is meant to be a specific type of triangle (e.g., obtuse, acute).
However, if we assume you're referring to a right triangle and we know these are the two legs, we can use the Pythagorean theorem:
\[ c = \sqrt{a^2 + b^2} \] where \( c \) is the hypotenuse and \( a \) and \( b \) are the two other sides.
Let’s calculate the hypotenuse when the two sides are 20 and 30:
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Square the lengths of the two known sides: \[ 20^2 = 400 \] \[ 30^2 = 900 \]
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Add these squares together: \[ 400 + 900 = 1300 \]
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Take the square root to find the hypotenuse: \[ c = \sqrt{1300} \approx 36.06 \]
So, if the triangle is a right triangle, the length of the hypotenuse would be approximately 36.06 when rounded to the nearest hundredth.
If the triangle is not a right triangle, further information would be needed to determine the unknown side.