Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.Then solve the triangle.Round your answer to two decimal places.
A = 46°,B = 39°,c = 1.4

A)Law of Cosines;No solution
B)Law of Sines;No solution
C)Law of Cosines;C = 95°,a ≈ 0.88,b ≈ 1.01
D)Law of Sines;C = 95°,a ≈ 1.01,b ≈ 0.88
E)Law of Sines;C = 95°,a ≈ 1.01,b ≈ 1.01

Question

Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.Then solve the triangle.Round your answer to two decimal places. ​
A = 46°,B = 39°,c = 1.4
​
A)Law of Cosines;No solution
B)Law of Sines;No solution
C)Law of Cosines;C = 95°,a ≈ 0.88,b ≈ 1.01
D)Law of Sines;C = 95°,a ≈ 1.01,b ≈ 0.88
E)Law of Sines;C = 95°,a ≈ 1.01,b ≈ 1.01

Quizplus · Accepted Answer

Given two angles and a side not between them, the Law of Sines is appropriate. To find the third angle, C = 180° - A - B = 180° - 46° - 39° = 95°. Then, using the Law of Sines, sides a and b can be calculated, leading to the solution provided in option D.

Determine Whether the Law of Sines or the Law of Cosines