Asked by Rick
solve each triangle using either the Law of Sines or the Law of Cosines. If no triangle exists, write “no solution.” Round your answers to the nearest tenth.
A = 23°, B = 55°, b = 9
A = 18°, a = 25, b = 18
A = 23°, B = 55°, b = 9
A = 18°, a = 25, b = 18
Answers
Answered by
drwls
In the first case,
C = 180 - 78 = 102 degrees
a = sinA* (b/SinB) = 4.293
c = sinC*(b/sinB) = 10.75
In the second case
sin B = b* (sinA/a) = 0.2225
B = 12.9 or 167.1 degrees
The latter value for B is not possible because the total number of degrees in the triangle would be too high.
C = 149.1 degrees
c = sinC*(a/sinA) = 41.55
C = 180 - 78 = 102 degrees
a = sinA* (b/SinB) = 4.293
c = sinC*(b/sinB) = 10.75
In the second case
sin B = b* (sinA/a) = 0.2225
B = 12.9 or 167.1 degrees
The latter value for B is not possible because the total number of degrees in the triangle would be too high.
C = 149.1 degrees
c = sinC*(a/sinA) = 41.55