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Flauer [41]
3 years ago
8

Circle A has radius 5, and Circle B has radius 2. If CD = 12 and is a common

Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Answer:

3\sqrt{17}$ or \approx 12.37$ Units

Step-by-step explanation:

In the attached diagram

CA=CO+OA

CO=DB

Therefore:

5=2+OA

OA=3 Units

The angle between a tangent line and a radius is 90 degrees. therefore triangle OAB is a right triangle with:

OB=12 units

OA=3 units

Using Pythagoras theorem

AB=\sqrt{3^2+12^2}\\ =\sqrt{153}\\=3\sqrt{17}$ or \approx 12.37$ Units

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