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Three circles with radii of 4, 5, and 6 cm, respectively, are tangent to each other externally. Find the angles of the triangle whose vertexes are the centers of the circles.

  • Trig -

    sides of triangle are (2+2.5),(2+3),(2.5+3)

    Start with law of cosines


    label the sides a,b, c solve for angle C
    Then, use the law of sines
    a/SinA=c/SinC solve for angle A
    then use the fact that the sum of the angles is 180 deg, find angle B.
    check angle B with the law of sines.

  • Trig -


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