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.

Question

A = 23°, B = 55°, b = 9
A = 18°, a = 25, b = 18

Answer 1

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