Posted by **Rick** on Friday, December 9, 2011 at 11:40pm.

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

- math -
**drwls**, Saturday, December 10, 2011 at 12:19am
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

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