Question

Find the remaining sides and angles in the triangle. Round your answers to the nearest tenth.

mZA = 55°, mZB = 44°, and b = 68
a. m2C = 81°, a = 96.7, c =80.2
b. m2C = 81°, a = 80.2, c = 96.7
C. m2C = 81°, a = 89.2, c = 57.7
d. m2C = 81°, a = 57.7, c =89.2

Answer 1

The answer is "Option b".

Explanation:

`m\angle A = 55^(\circ)\\\\m\angle B = 44^(\circ)\\\\m\angle C = 180^(\circ)-(55^(\circ)+44^(\circ))\\\\`

`= 180^(\circ)-99^(\circ)\\\\=81^(\circ)\\\\`

`(a)/(\sin 55^(\circ))= (68)/(\sin 44^(\circ))\\\\a = (68 \ \sin 55^(\circ))/(\sin 44^(\circ))\\\\a= 80.2^(\circ)\\\\(c)/(\sin 81^(\circ))= (68)/(\sin 44^(\circ))\\\\c = (68 \ \sin 81^(\circ))/(\sin 44^(\circ))\\\\c= 96.7^(\circ)\\\\`