Solve the triangle, if possible 14 12 16 Find the measure of angle A Select the

Question

Solve the triangle, if possible 14 12 16 Find the measure of angle A Select the correct choice below and, it nivcessany, ll i the answer box to complet e your choice (Do not round unti the final answer. Then round to two decima places as needed) O B. There is no solution Find the measure of angle B. Select the correct choice below and, i ncessary, illinthe answer box to complete your choice. (Do not round until the final answer. Then round to two decima places as needed) There is no solution. 0 B. Find the measure of angle C. Select the correct choice below and fn scessary, ill ithe answer box to complete your choice (Do not round until the final answer. Then round to two decima places as needed)

Explanation / Answer

using cosine law , we will get

c2=a2+ b2 - 2 a b cos C

162 = 142 + 122 -2(14)(12) cos C

256 = 196 +144-392 cos C

392 cos C= 84

cos C= 84/392

C= 75.52 degree

Using sine law,

sin C/ c = sin A/ a

sin 75.52 / 16 = sin A / 12

sin A= 12 sin(75.52) /16

A = 46.57 degree

B = 180-A-C = 57.91 degree

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