SOLUTION: Two circles, whose radii are 12 inches and 16 inches respectively, intersect. The angle between the tangents at either of the points of intersection is 20 degrees 30'. Find the dis

Question 1172084: Two circles, whose radii are 12 inches and 16 inches respectively, intersect. The angle between the tangents at either of the points of intersection is 20 degrees 30'. Find the distance between the centers of the circle.
Answer by ikleyn(52887)   (Show Source): You can put this solution on YOUR website!
.

Make a sketch and notice that you have the triangle in the sketch with two given sides (the radii)
and the given angle between them.

Hence, you can apply the Cosine law to find the third side length.

Also notice from the sketch that the third side is the distance between the centers.

Hence, by doing this way, you will get the answer, sooner or later.

Happy calculations (!)

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On the Cosine law, see the lessons

    - Proof_of_the_Law_of_Cosines_Revisited
    - Solve triangles using Law of Cosines

in this site.

In addition to the theory, clearly explained, you will find there many solved problems, that are your TEMPLATES.

Consider these lessons as your handbook, textbook, guidelines, tutorials and (free of charge) home teacher.

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