Question
Asked Nov 18, 2019
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Solve the triangle​ ABC, if the triangle exists.
 
B=34°54′     
a=38.5      
b=30.9
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Expert Answer

Step 1

Given:

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А 30.9 34 54 С В 38.5

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Step 2

Concept used:

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Law of Cosines: a2b2c-2bc cos A b2 a c2-2ac cos B c2 =a +b -2ab cos C

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Step 3

Calculate ‘c’ by ...

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b2=a c-2ac cos B (30.7) (38.5)c2 -2.38.5.ccos(34°5"') 5 942.49 1482.25+c - 77ccos 340 60 1482.25 c2-77c cos (34.083°)-942.49 = 0 c2-63.77c+539.76 = 0 -btb-4ac -(-63.77) ±(63.77) - 4-1-539.76 roots = 2a 21 63.77t4066.61-2159.04 roots 2 63.77tv1907.57 roots = 2 63.77+43.67 63.77-43.67 roots = 2 2 roots =53.72,10.05 c 53.72 and 10.05

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