A=14cm b=9cm c=6cm law of cosines

1 answer:

3 0

A^2= b^2+c^2 - 2bc•cosA

14^2= 9^2 + 6^2 -2x9x6xCosA
196= 81 + 36 - 108xCosA
196- 117= 108CosA
79/108= cos A
0.7315= cosA
A= cos^-1(0.7315)
A= 42.98

SineA/a=sineB/b= sineC/c

Sin42.98/14 = sineB/9
B = sin^-1((9•sin42.98)/14)
B= 25.99

C= 180-(25.99+ 42.98)
C= 111.03

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