# O ADDITIONAL TOPICS IN TRIGONOMETRYМахSolving a triangle with the law of cosinesEspañolConsider a triangle ABC like the one below. Suppose that C 111°, a=48, and b=50. (The figure is not drawn to scale.) Solve the triangle.Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.If there is more than one solution, use the button labeled "or"сABАNoorSolutionаXAaС

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see attachment help_outlineImage TranscriptioncloseO ADDITIONAL TOPICS IN TRIGONOMETRY Мах Solving a triangle with the law of cosines Español Consider a triangle ABC like the one below. Suppose that C 111°, a=48, and b=50. (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or" с A B А No or Solution а X Aa С fullscreen
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Step 1

Given,

Step 2

Apply Cosine Rule of angle, help_outlineImage Transcriptionclosec2= a +b-2ab cos C 62=a2 c2-2ac cos B a2c2b-2bc cos A -(1) -(2) .(3) fullscreen
Step 3

Plugging all value in... help_outlineImage Transcriptionclosec= 48 +50 -2( 48) (50) cos 111* c2=6524.166158 = v6524.166158 c = 80.772310 C 80.8 fullscreen

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