Find the missing length, assume that segments that appear to be tangent are tangent.

Since the side that measures 16 is tangent to the circle, it is perpendicular to the side that measures 12.

IT makes a right triangle.

Since it is a right triangle we can apply the Pythagorean theorem:

c^2 = a^2 + b^2

Where:

c= hypotenuse (longest side )= ?

a & b =the other 2 legs of the triangle.

Replacing:

?^2 = 12 ^2 + 16^ 2

Solve for the missing side:

?^2 = 144+256

?^2 = 400

?=√400

? = 20

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