A triangle has sides A, B, and C. The angle between sides A and B is (7pi)/127π12. If side C has a length of 9 9 and the angle between sides B and C is pi/12π12, what is the length of side A?

1 Answer
sankarankalyanam
Feb 25, 2018

color(brown)(a = (c * sin A) / sin C = (9 * sin (pi/12)) / sin ((7pi)/12) ~~ 2.41 a=c⋅sinAsinC=9⋅sin(π12)sin(7π12)≈2.41

Explanation:

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To find the length of color(red)(aa

Given : c = 9, hat C = (7pi)/12, hat A = pi/12c=9,ˆC=7π12,ˆA=π12

Applying Law of Sines,

color(brown)(a = (c * sin A) / sin C = (9 * sin (pi/12)) / sin ((7pi)/12) ~~ 2.41 a=c⋅sinAsinC=9⋅sin(π12)sin(7π12)≈2.41

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