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20 August, 10:24

Solve the triangle abc, if possible. show all work and / or support your answer. c = 52.3°, a = 32.5 yd, c = 59.8 yd

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  1. 20 August, 12:49
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    This is solving for a triangle when given two sides and a NON-included angle.

    Let's use the Law of Sines and solve for Angle A:sin (C) / side c = sin (A) / side asin (52.3) / 59.8 = sin (A) / 32.50.79122 / 59.8 = sin (A) / 32.5sin (A) = 32.5 *.79122 / 59.8 sin (A) = 0.4300108696

    Angle A = 25.468 Degrees

    Angle (B) = 180 - 52.3 - 25.468 = 102.232 degrees

    Finally, we'll solve for side b with the Law of Sines

    Sine (102.232) / side b = sin (52.3) / 59.80.9773 / side b = 0.79122 / 59.8side b =.9773 * 59.8 /.79122side b = 73.864
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