Solve the resulting triangles if the given changes are made in the indicated examples of this section.

In Example 2, solve the triangle if the value of B is changed to 82.94°.

Data from Example 2

Solve the triangle with the following given parts: a = 63.71, A = 56.29°, and B = 97.06°. See Fig. 9.54.

From the figure, we see that we are to find angle C and sides b and c. We first determine angle C:

Noting the three angles, we know that c is the shortest side (C is the smallest angle) and b is the longest side (B is the largest angle). This means that the length of a is between c and b, or c 63.71. Now using the ratio a sin A of Eq. (9.8) (the law of sines) to find sides b and c, we have

Thus, b = 76.01, c = 34.35, and C = 26.65°. Note that c a, as expected.

A B c/97,06 56.29 63.71 b Fig. 9.54 C