Answer:
20
Step-by-step explanation:
The point of contact of the tangent and the diameter of the circle is a right angle.
Thus the triangle with legs 12 and 2 × 8 = 16 is right
Using Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
? = [tex]\sqrt{400}[/tex] = 20
