Trigonometry Solutions
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Three circles of radii 3, 4 and 5 inches respectively are tangent to each other externally. Find the angles of the triangle formed by joining the centers.
Solution:
92=82+72−2(8)(7)cosθ3
θ3=73.40
72=92+82−2(8)(9)cosθ2
θ2=48.19
82=72+92−2(7)(9)cosθ1
θ1=58.41