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A triangle has sides equal to 4 m, 11 m, and 8 m. Find its angles. (Round to the nearest tenth)

 Mar 25, 2016
 #1
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a = 4; b = 8; c = 11

 

c2 = a2 + b2 - 2ab cos(C)

 

112 = 42 + 82 - 2*4*8 * cos(C)

121 = 16 + 64 - 64 * cos(C)               Sqare values

121 - 16 - 64 = -64 * cos(C)              Subtract a and b from both sides

41 = -64 * cos(C)                             

41 / -64 = cos(C)                               Divide both sides by -2ab

C = cos-1(-0.641)                              Inv cos

 

 

Repeat for 1 more angle then use Pythag for the third

 Mar 25, 2016
edited by Guest  Mar 25, 2016
 #2
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Or, for the third, just use the fact that the three angles must sum to 180°

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 Mar 25, 2016

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